{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "42d47792",
   "metadata": {},
   "source": [
    "## 1. 梯度下降过程"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4f1dceb",
   "metadata": {},
   "source": [
    "### 1.1 二维平面内的梯度下降"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a72e54c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入必要的库\n",
    "import torch\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d43edb50",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义函数\n",
    "def f(x):\n",
    "    return x ** 2 + 4 * x + 1\n",
    "\n",
    "# 定义初始值\n",
    "x = torch.tensor(-10., requires_grad=True)\n",
    "\n",
    "# 迭代更新参数\n",
    "learning_rate = 0.9\n",
    "\n",
    "# 用于记录每一步梯度下降的值\n",
    "xs = []\n",
    "ys = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4834e299",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "最终参数值：-2.000000238418579\n"
     ]
    }
   ],
   "source": [
    "# 开始迭代\n",
    "for i in range(100):\n",
    "    # 计算预测值和损失\n",
    "    y = f(x)\n",
    "\n",
    "    # 记录参数和损失\n",
    "    xs.append(x.item())\n",
    "    ys.append(y.item())\n",
    "\n",
    "    # 反向传播求梯度\n",
    "    y.backward()\n",
    "\n",
    "    # 更新参数\n",
    "    with torch.no_grad():\n",
    "        x -= learning_rate * x.grad\n",
    "\n",
    "        # 梯度清零\n",
    "        x.grad.zero_()\n",
    "        \n",
    "# 打印结果\n",
    "print(f'最终参数值：{x.item()}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2d586044",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 显示真实的函数曲线\n",
    "x_origin = torch.arange(-10, 10, 0.1)\n",
    "y_origin = f(x_origin)\n",
    "plt.plot(x_origin, y_origin,'b-')\n",
    "\n",
    "# 绘制搜索过程\n",
    "plt.plot(xs,ys,'r--')\n",
    "plt.scatter(xs, ys, s=50, c='r')  # 圆点大小为 50，颜色为红色\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73be3e37",
   "metadata": {},
   "source": [
    "### 1.2 三维平面内的梯度下降"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c6cdb513",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义函数\n",
    "def f(x, y):\n",
    "    return x ** 2 + 2* y ** 2\n",
    "\n",
    "# 定义初始值\n",
    "x = torch.tensor(-10., requires_grad=True)\n",
    "y = torch.tensor(-10., requires_grad=True)\n",
    "\n",
    "# 记录每一步的值\n",
    "xs = []\n",
    "ys = []\n",
    "zs = []\n",
    "\n",
    "# 迭代更新参数\n",
    "learning_rate = 0.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "40651c6e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "最终参数值：x=-2.0370367614930274e-09, y=-6.533180924230175e-22\n"
     ]
    }
   ],
   "source": [
    "# 开始迭代\n",
    "for i in range(100):\n",
    "    # 计算预测值和损失\n",
    "    z = f(x, y)\n",
    "\n",
    "    # 记录参数和损失\n",
    "    xs.append(x.item())\n",
    "    ys.append(y.item())\n",
    "    zs.append(z.item())\n",
    "\n",
    "    # 反向传播\n",
    "    z.backward()\n",
    "\n",
    "    # 更新参数\n",
    "    x.data -= learning_rate * x.grad\n",
    "    y.data -= learning_rate * y.grad\n",
    "\n",
    "    # 清空梯度\n",
    "    x.grad.zero_()\n",
    "    y.grad.zero_()\n",
    "\n",
    "# 打印结果\n",
    "print(f'最终参数值：x={x.item()}, y={y.item()}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "974bf841",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制图像\n",
    "ax = plt.figure().add_subplot(projection='3d')\n",
    "ax.plot(xs, ys, zs, 'r-')\n",
    "ax.scatter(xs, ys, zs, s=50, c='r')  # 圆点大小为 50，颜色为红色\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d527f7b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1A8feE/pkWhUSzcIgQywQb0gaa+So9w4Nu1KmIKS3Eza6GDW4CBtcjBndjBpc6JUaRFEk2y4RqafYq6ekAKa+T6SepjuAh5QyBSN6DxPGAFOmIJPGABPGAHqlFABFGnF2alG2a1G2a3vEm6lhBuDROJk2jTNlGmPaNEZYH0Qhk5Npp9geZObbtQ1Srf3BZ6kYM4wzZZpj2jjLuHESlUxNph1jt/aEnfpjdmrLNAeOxKUJMGk8zoTxGOPGJdRyDZn2FpHaHaL1OySbTxDoo5brCelPMWo8z6jhLAalg1Jnk0T9Kon6x+TbTwARvdJDwPAiQcNLuHWnEIQaucZ7ZBs/p9D6GEFso5LbcOpfw234Cjbtefr9HOXmm5Sbb2LRfR2X+R99fhzBiVPj4p3bd5DJDBSaH5FuvEm+8R59sYFKbpVOhP7L2HQX6QltEo2rxGvvsd+4QV9soZIb8esvETC8iF9/EaVcT7K5wm7tOru1GxQGUb9FFWDMeI6w4SxB/XFkMiXxxgYb1ftsVR+SaG4hIqKR6xk3LjJhPMak8dgw4t+qbbBeXWG9ukq0sYuIiEKmYFQ/wZRphqnBzaRT6Cl3q6xXtlmrbrNe3WGnFh1ioS6NXbphjaNMmsYYM4RQy1XUey02qjE2qtHBGiPVOkyRXRorE4ONMWH0M27w49M5kMvktPoddmoZtqoptqtpdmppdmoZsu3K8P1quZIRvZOw0UnY4GJEL0VyIb0Dy4CU7YsC6WaFaL1ArF4kVi+QaJSINYrsN0oUO40j104hk+HWmvHqzHi0Zjw6Sd2D6NOpMeLSmtB/wrC3+z3yrTq5dp1Cu0Gx3aTYblBoD+ChTkta200q3TbljgQJCb/k/X2Az2sVh/i8Wq44Cg0NsX1pHUJDQ3joE9CQKK3CwHEcrL0Bx9AdOJchNNTv0xrwE61+j3a/S1d4fkT/SVHIZBIkpNZiVmkkB6nWYVVrsWp0g+hfj12rx67R49BIDlWtOOQYDhxHti1lZulWhWyrSmrgsNOtCqmm9LtPnlWnxkhAbyWgtxI02BjR2wkZbIQMdlxaI3KZHFEUKXbqRBs5onVJI/UckXqWWCN/JNDwaa2MmzyMGz1MGD1MmjyMGt2o5Ur6Qp94M8dOLcF2LcFOfZ+taoJiV4q2ZcgI6lxMm0KSmkNMGoNoFWqa/RY7tShbtT02q7tsVHcpdiV4VyNXM2kcZcY8zqxpgmnTBAaljlqvylZtg63qOps1KYg72MtjhglmTPPMmOYZM0yikClItSJs1x6yXX3EXn2FrthBjoIRwwxTphNMGU/i043RFZrEGw/Yq99ir3aLWk/KAtyaKUaNFxg3XsCtnabdL5JofEyi/jHJxg36YhuV3EhA/wIh48v49BeQIZJvfjRAQaRAWCm34tJ/Cbfha9i0F5ChQC6Xf54cwaz4B299m2zjbfpiHZXcikv/ZdyGr2LVnqMr1InXPyBae5d04zYCPXQKF0HjSwQNV/DoTtMXu0Tqd9mpXmO3foNWv4IcBQH9McaMFxg1nsemDlLrltio3mejepfN2kNa/Toy5IT0U0yaTjBlPEFAPwlApL7DavUJa5Vldupb9MX+4GaZZPqpKEIt15BvF1mpbLJS2WS1skWieUAcK5kwjjBjmmBmEK3Y1Bb6Qp/deorVyh6rlQjr1SixRuYpfNPOlCnEtDHIpCnIlDGIRW0cRFUVNipJNqpJNipJtqopYo38U+SxijGji3GjtPHGjFJk5tNJsJAoiuTbdfZqOXZrefZqOfbqeaK1ArFGke5T2LZSJsevtxLUWwnobQT0Vvx66zB6dGlNKJ7CpuvdzsDQ1Eg3q2SaVdLN2gAiqpFtSsa/1j2MJJ8WhUyGRa3DptZhVmsHBnCAk6s1A4hIipwNSjUmlQadUoVBqUavVA0hIoX8b2YldVfo0+p1afS7NHpd6t22tPbaVLtShlPttgeQUJtKp0W526LcblLutii1m5Q+A1KzqLU4NQacOiMurQG31ohbZ8KjM+HRGQeZgAmtUnXkO2VaFZKNMvvNMolGif1GiXijSKJRItUs03/KrmgVykHkb2fU6GTU4GDU5GDM6BxWefWEPvFGnt16lp1amt1ahp1qhr16dsgfKGRywgYnUyYf02Yf04PVppaq/HLtMlvVOJu1OJvVOJvVGLmOZOTlyBk1eJkzh5k1h5kzjxLSu5AhI9cpslHdYb26w3plm716fJitj+gDzJsnmbdMMWeaxKI20+w32R4EeRvVtWGQp5KpmTLNMGtaYM68SEAXQhD7RBtrbFYfslm9T7I1wPiVFqZNp5gxnWLSdAKtXE+uvcte/Qa7tZskmyuAiEHpYNx4kQnjZYKGE4hif4BqvE+i/jFtoYxCpsGvv0jI+CoBwwvIUVJofUym/hNyjXcHNtLGqPV/y4jl731+HMHMMa34L3+4iMvwOm7D17FpL9ATGsTqHxCt/ZxU4zYifQxKPyPGVwgZX8GhWaAt1Nit3WCr+jGR+h36YgeN3MSo8RzjxouEDWdQyw0kW7usVe6wVrlDorkFSHDPtOkUU6aTTBqPoVMaKXRyPCk/4knlMevVFZr9BjJkhPRhZk0LzJoXmDROD/H9J+UNlsvrPClvkG7nANAptMyaJpkzSzpuHEEtV1HtNlip7PGkvMtqZY+1SpSWIFV2WFVGZs0jzJrCTJtHmDGFMKsMiKJIqlVitZxgrZJgrbLPemWfYueQCwjq7UyZfEyavEwaPUyYvAT09qHBTzbLbFezQ92pZtmp5ah0D0lCjVzJiEHa2CGDnbDBQchgY8Rgx6MzDw29KIpkWzXi9TLxepn9Rpn9eplEo8x+o0KqUT1y3AMxKNW4dUZcWiNOrWG4OjRSROvQGKQIV6PDpNIifw6WL0W3XSqd1sBQdqh12tS6A5y92x1CRM2BHsBD7X6Pdr8/hIa6/QN46BPQkPB01RDPlLTKkCGX8Qw0pJQfqmqQdRxkJJIqJFhoAAnpBg7LoJJWo0qCh0wqDSaVGpNag1mtRatQPpfX6AsC1W6bwiCDyrfr5FsHa51sq06uVSfTqpFpPh8esql1ePUmAnoLPr2FgEHS4OBnu0Y//Oyu0CfZLBOrF4gONFIrEK3nidWLR3gLu1rPmMnJuNHFpMnFpNnNhMmFUyNBlT2hT7SRY7uaZquaYrOaYrOaJN0qD4/h1piZMfuZMfuZswSYMwdwaqXy63y7zPoga16tRFivRKn3pXvOqNQxawozbxllwTLGnCmMTqmh1W+zWdtlrbLFSmWLjeoOHaEr7R+djwXLFIuWGRbM05hURpr9BhvVNdaqT1irPCHZSgxsholZ8yIL5mPMm5cwqyzUuiU2a/fZqD5gs3qfZr+GHDkjhllmTWeYNZ/FpQ3Q7JXZrd9kp3qNaP0OXbGFWq5n1HCeSdMLhI3nUMpUZJoPiNXfJVZ7n1Y/j0Kmwae/SNj4GgHDC8iQU2h+SLr+Jg79Ffym73x+HMGJU9PivbvLCGKfeP1DItW3STauI9DDoPQTNr7GiPFVbJpZWv0K27WP2ax8SLzxAIE+RqWLCdNlJoyX8euXEEWRvfoTViq3WKvcodzNSemlfpIZ0xlmzKfxacfoi322aus8Lj/gSeXREDu0qRzMmxeZMy8xa57HqDRR7zVZqWzwsLTKcnl9GPEbFDrmLdPMm6eYN08RNki4ZK5d4nFph8dlSffqSUCKZCaMfuYto8ybR5kzh/FqHchkMkqdOk/KcZ6UYqyU46xWEkOjr5DJGTd6mDX7mTb7mDH7mTL5MCil+uZqt8VGJc16Oc1GJc1mJc1mNUO9d1hG6NAYGDe5GDc6GTc6GTVJq1dnHnIAXaFPvF5ir1okUisSqRWI1UrE6pK2P2FUbGodPr0Zv96MT2/Gqzfj05lx64x49RI8ZFAdhYVEUaTW7ZBrSQYs12pQONB2cwATNSm1m5TbLcqdFpVO+1OJ0qdFIZOhV6rQKFTolSq0ygOcflDKqZCgIfXAaB/g+wq5VIcvlYcecgEHZvjpiiFRZMApiAiCIJWhDiGhwTpwPAd64JSaPans9ZfZpSq5HItagoesGik7sml12DSSOg5gIZ0ep1aPS2tA/9xz3SbdqpFuVEk1JWgoOXDc+40K+40y1U9kaHqlSoKCjFZGDFbCRhthk52w0UZAbxlmXD2hT6JRYq+WZ7eWY6eWY2cQdDwdFFhUOqbMbqbNHqbNHmbMHibN7iFkWO40hhnuemWf9UqCvfphibRbY2bWEmDBEmLBGmTeEsSo1CKIAvFGlpXKHquVPVbKe0QaaUTE4V5bso6zZJlgyTKORW2kK/TYqUdZKW/ypLLBWmWbttBGhoywIcCSZZZjljnmzJNoFGpKnSJr1SesVB6zWlmm2pPg1pAuzILlOEuW44wZJgGRWGOT9epd1it3SLWkikaH2sec+RzzlnOE9NMIYp9Y4x7b1avs1K7R7JdRyNSEDWeYMl1hzHgBlVxLrvWIaO0dYrX3aPZzKGRaAoYXGDW9gU9/EYVMhUwm+/w4guOnZsX/z5u/Rbz+AX2xhV7pZsT4GmHj69g1c7SFKlvVj9msfECscR8RAYsqwKTpBSZNL+LRztAV22xWH/CkfIP1yh1aQgOVTMOk6Thz5rPMmE5jVFmpdMsslx/yuHyf1coyLaGFUqZiyjjDguUYC+ZjeLV+BES2ans8LK7wsLzKVlUigzVyNXPmSZYssyxaZo4Y/gfFLR6WtnhU2ma/dZAhaJg3j7JoGWfRMsaMeQSdQkNfFNiupnlUivC4FGW5FCPWyANS5DlmdLFgCQ0jokmTF41CNYjKq6yUk6yUk6yXU6yVU8QbpeH5NKu0TJs9TJndTJrcw8jsIG2XoKEG25Uc25U8O9U8u9U8u9UC8XrpCAxgVKoJGa1DoxAyWAkarFIEqbc8Y+SbvS7JRpVkvUKqUSPVqJJu1Mg0Jc0262Sb9edGqSBlD1aNFrtWj1WtxaLRYlEfqkmtkaAhtfoQIhqQrTqVCo38P3110K8qoijS7veo97rUux1q3QMCvCNlOx0JHjp0gi1K7RalToviwFl+2vnTK1W4dAbcOiNunQG3fgAH6SXH7DOY8OhNaBVHW46qnRbxQXYXq5eID5x/tFYiVi8e+TyVXM6IwcaYyc6Y2cG4ycGE2cmk2YFFrRv+j7l2je1qlq1Khq1qls1Kmo1Khsagx0EGhA0OZi1eZi1e5q0+5i0+bBoDIFU0bVSTrJUTrJQTPCk/u0cWrSMsWUc4bh1hxOBELpNT6zZZreyxXN5lubzDWjU6zABG9V6WrBMct05y3DqJVW2kJ/TZru2xXF7ncXmd9eoOPbGHUqZk1jzBccscx23zjOqDiIjEm9EBcvCQndoWAgIGhZEFyzGWLCdYMB9DrzRQ6mRZq9xhtXKb3foyfbGHQWmRnIL5PBPGJeQyOfuNx2zVPma7+jG1Xg6FTEXYcJZp88uMGS+ilKnJNh8Qqf2cWO1d2kIJtdzMov0fMmf73c+PIxhfMoj/9x9cYsT4KmHTG7i1J+iKbXaq11ivvEu0fgeBPhaVnynzFaZNV3BqJugILdard1kuX2Ojco+u2EGvMDFrPsu8+RyTpuOo5BqSzQQPy/d4VLrHbn170O1rY8lykiXLcWZM82gUWoqdMg9KK9wvPuFReZV6T4KGJoxhjlmlKGHaNI5KrqTSrfOguMn90iYPipvEmxIxZFTqWLJMcMwq6YTBj0KuoNnrsFyO8aC4x8NihOVSdLghHBoTi5YQi9YQi5YQs5bAMNLPtWoslxIsl/ZZKe2zXNon3z7oKzi6kabNHmYsHjxa89AY5lt11stZNspZNstZtio5tio5Sp3m8PzrFCpGTTbGTA5GTXZGjXbGTHZGjDYcT0EEAOVOi1i1RLxWJlYrk6hXiNfK7Ncr7NcrlDrPQkMmlQav3igZJ70Rp1YvQUQ6Aw6tHofWgEOrw6bVP2OgnpaeIEhGstOm0mlT63QkHRjRRrdLo3sIDUk/945CQ30pWj8gdjv9/pDwFQaNZFIz2fOrhiR4SIZCJkM+IJkVctmgy1aOSiER0RrFABpSHlQMDaqGlEr0KhUGlcRpGNRqTAfQkEaChswaLUaV+jN5jmavS36QRR1kVbmW5GRzzTqZZn3ofGvdZ5vLnFo9foN5qEGjhZDRMlyNqsNOWlEUybRqRKpF9moFdqsF9qoFdqt5IrXikX4Jp9bApNnJlNnJlMXFtMXFjMWNWS01BgqiwH6jzHolxXo5zVo5xVolReKpQMarM7No9bMw0EVrYOhgKt0mT0oxnpRjLJdiLJdjVLrSvWxW6ViyjnDCNsoJ2yhzlgBquZKO0GOzGuNRaZtHpW2WyztDWHbM4OOkbYoT1imOWyeH1UmrlS0elVd5VFol0pCgIavKzHHrPCdtCxy3zmFUGmj06qxUllkuP2C58pBar4ocBVOmGY5ZTnHcegqnxkWr32Cjeo+V8k3Wq3fpCC20cj2z5rMsWC4yZTqBUqYk2Vxls/oBm9UPqPfyKGUaxoznmTa/yqjhHHKZnFTjFnu1t/DpLzBu/trnxxEcOzUj3r+7DMiI1u+wVnmHnep1emILo9LFtPllps2v4NZM0RXbrFXu8Lh0lY3qfXpiB6PSyoLlAguWi4wa5pEjZ6+xw4PiHR6U7pJuS7DMiH6M49ZTLFlOENKFERHZrce4W3jM3eJjdupSdZFNZeGEbZ7j1nmOWeYwqQx0hB4r5V3uFte5W1hnq5ZARESv0LBkmeCEbYoT1knGjH4UMjm1XouHxQj3CrvcL+yyWknQFyXCatLk5bhthGPWMEvWEfw6GzKZjHa/y0o5ycNCnEfFOI+LCfabB+SYjHGTk3mrnwWLjzmrj1mLd+gwukKfnUqelVKa1VKa9VKGtXKGXOuQT7CotUyZXUyanUyanUyYpUjOpzcPcXlRFCm0m+xWCuxUCkSqJfYqRaK1EtFqifInDL1JpcZvMBMwWPAbzPgMJvwGMx69EZ9eIig/CVeAVApabDXJNevkm01yzQE01GxSbDUptKS11B4Qpe32cw3a80Q7MLq6gRE+MMZqhVTSqR4YbLVCMawakqAhCfM/MPjPg4YOq4ZEBOGwaqg7gIQO+If2wOG0Bo6o1TuEhj4Jrz1PZIBRrcGi0UhVQlqpWsiuleAhu1aHXafDodPj0hlw6vRYNNrnZkO1blvKzuoSNJSsV4eOOzHQZq975D0OrZ6Q0ULYZCNssjJmtjNqsjFutmPRHHZ79wWBWL3ETjXPViXHdiXHVlkKNmpPwZJenYlZq5tZq4c5q4d5q4ew0TZ0duVOk9VyktVykielJCulfSL1w4q5sMHOki3AMVuQE/YQ02YPKrkCURSJ1LM8KkV5VIrysLhHpC5l4xq5kgVLiJP2UU7Zx1myjqBVqOgJfTaqMR6Wtrhf3OBJZY+O0EUhkzNrCnPaPs1p2ywzphAKuYJip8zD0goPSis8LK1S69WRIWPGNM5p2xKn7UsEdb6BPdniUfk+j0r3h9xCSBfmhPU0J2xn8GuD9MQu27VHPClfZ7Vym2a/hkauY858jkXrJaaMJ1DIFOw3n7BReY/N6oc0+yXUcgNTppeYNX+JgP4YMpn88wUNnTi9JP53b/4z1ivv0uyX0MpNTJmvMGP+En7dAn2xz2btAY+KH7FauU1XbGNUWlmyXGLReokR/SwAO/Ut7hVvcb94h2I3jxwF06ZZTlhPc9x6GpvaTkfo8ri0xp3iI+4WHlPslpEhY9o0xinbIidti4zqg8hkMpLNPLcLq9wurPGguElL6KCQyZkzhzllm+GUbZoZ0whKuYJWv8PDYoQ7+R3uFLZZq+zTFwWUMgULliAn7VKUcswaxqiSNlK2VeVeIcqDQowHhRgrpeQQBw/orSxZAyzZJJ2z+IZ4arvfY72UYbmYZLmY4kkxxUY5O4zM1HIFUxYXsxY3M1Y3M4PIzKU1Dg1FTxCIVItslfNslfNslwtsV/LsVgpUOod4sUImI2CwEDZZCZtshIwWRkxWQkYLIaP1iFE4kGqnTbJWZb8mwUKpepVUvUamXiPTqJNpSFFr/zn3qgywag+wcC02rQ6zRiNBQxoJGrJoNBJEpNZgUg/q8FUSNKRX/s2tGDqQviBQ70p9D7VOh3q3Q7Ujkd+VA20PKobabUrtJsVWi3K7RaEl8SbPE5VcjktvwKUfQEJ6A16DCY/BiM9gwmsw4jeanssjFNpNYjUp04tUD9dItch+vXKE07BrdIyb7UxYHExYpHXK4iRotBwJKJKNyiAbzbBezrJWyrBdyQ3vcb1SxYzFzaLNy4LNy6LNx6TFORyzUek2eVKUsuCDwCjblmr6tQoli9YAJ+whTtpDnLCHhtBnqVPnQTHC/cIuD4p7rFf2ERBRyRQsWEOcsY9z1jHBojWESq6k0++yUtnjbnGDe8V1NqtxRESMSh2nbNOctc9x1j6LQ2OhLwps1fa4X1zmXnGZ3XoMALfGwRn7Mc7YjzFnmkIpV5BupXhYusuD0l1261Jpukfj5aTtLKds5wjpwgj02ak95nHpGiuVmzT7NbQKAwvmCxy3vsiYcQGAWP0ea5V32K5+TFdsYVK6Oef8PZZs3/j8OIKRRbP4f/izy4wZLzJr/hKjxnPIURJprPGg+AHL5Ws0+zX0ChMLloscs77AqGEOGXJ261vcKd7kbvEW5W4RpUzFvHmRU7ZzLFlOYFAaqfea3C8uc6vwgPvFJ7SENlq5hhO2Bc7YljhpW8SskrDC5fION/Mr3CysEGtIDWVerZ2z9jnO2Gc5MUgf+6LAemWfm7ktbuW3eFSM0BX7KGRyFi0hTjvGOW0fZ8kaQqtQI4oisUaRu7kId/IR7hYixOpSQ5lGrmTR5ue4LcQJe5BjtiAurQmQjMZWJcfDwj6PCvs8KiTZKGeG9egWtZYFm5d5q5d5q4c5m4dxkwPlwBgKoki8VmatmGWjlGW9lGOjlGWnUjhS0+7VG5kwOxgz2xm32BkzSxhwwGh+Zv5Nud0iWikRq5aJVyvEB+t+rUKiVqHaeTZyd2h1uPRGvAajZKx0BtwGKZJ16gw4dBL5adFof6Eh7wvCEBaSIKI29U6XRrcjGdgBTNTq9Wh2pYayg8i803sWGuoJEtnbP4CFDiCiT1C68gEsJPsENKRUyCVYSK5ApRg0lCmlaiGtUjlQFTrVoGJIpUKvUmNUqzGoVRjVA85jsD6vaupp6QkCxVaTfLNBodWUeJdGnVyzQaZRI9tokK5XyTTqlJ7jNKwaLX6jmYDJTNBoJmiyEDSZCZklJ29UP9vzEauV2asU2ank2a0U2a4U2CnnybUO+0q0CiWTFgfTVifTVhczViezNhdevWkYgHT6fbYqWVZKaVaKaVZKKVaL6WH2oFEombd6WLL7OG73c9zhZ9RoRyaTDavgHhbjPCzEeVCIsVo+DJ4mTC7OOMKcdoQ54wjj0UmVRgfZ+d38DncKO6xX9hER0SpUnLKNcdYxyXnnJBNGDzKZjEq3zv3iBncK69wurJEflKxOGgOcs89z3jHPrHkEuUxOvl3iXvExd4qPeFxaoyv2MCoNnLYtcs5+guPWeTQKNeVuiYelu9wr3majuoqAgEvj5rTtPGds5wnoRuiLPbZrj3hU+piVyk06QguT0sYx6wucsF3Bpx2jJ7bYrl5jrfIO48aLHLd/6/PjCBZOTop379yTBrm1U9wvvs+D0gcUO2lUMg3zlnMct77EpOk4chQkmlFuF25wu3iDQieHUqZiwbzEKds5jllPoVPoqHbr3Ck85Hr+Po/La/TEHlaVmbP245y1H2fRMo1KrqLWbXKrsMr1/DK386vU+y1UMgVL1gnOO+Y5Z58joHMhk8nItSrcyG1yPbfBzfzWEJucMvk475jkjGOcE7ZR9AO4Jl4vcjO3y+3cHrdze6Rag9Z1tY5T9hFOOUY4ZR9hzupDPRj0VWw3uJ9PSJpL8KiwP6z8Mak0LNl9HLP7WRxEUEGDZbjJWv0e68UsK4U0K8UMK4UM66XsEUglaLQwbXEyZXUyZZUiuQmL/QgmDFBsNdktF9ktF9krF9krl4hUpPXpjAHApNYQNJkJGM34jSYCRjM+oxmfwYjXaMKjNx5pdHpaeoJAodkg12iQbzbIN5oUmg0JHmo2KbValFotyi0JHiq3W9Se42g+TYaGeAANaZTSemC0lQNs/wAaksulZjKF7PkNZf2BozioGuoLg4YyQaDbF+g8xUMcOKDWLwkHgZQRmTQaiSTXaLBotVi1UmZk00lwkE2rw6GXqoUcej12re5TnWer1yVdr5OsV6UsrV5lv1YZaJVYpUzjGVhIx4jZyqjFRthsZcxqY8wiqUl99D4ptZtsl/NslvNslnJslHJslnOkGofzqCxqLXM2N/P2gdo8TFkdwwBDEEUitQKPC0keF5I8KiR5UkzR7Evfy6rWcdzh56QjwElHgOOOAKbB/drsdVgu7XMvH+VeIcr9QnS4X0IGG+cco5xzjnHOOYp74Bgq3Sb3CrvczktB3AGU5NSYOO+Y4qJrinOOKaxqPaIosltPcmsQHK6U9xAQsaqMnHfMc9GxyCn7NDqFVKb6sLTC7cJD7hQfU+810MjVnLQtcsFxklO2RXQKLbVelfvFO9wr3mK9uoKAgFfr56ztAmfsF/FovXSFNmuVuzwsfchG9R59sYdbE+Kk7WVO2K5gVtml++XzBA2dPnNK/J9+9v/gXvE99uoryJAxblzipO1l5s3n0Sh05Ns5bheucbNwjWQrgRwFc+YFztovctx6Gp1CR61X53b+Idfyd3lcXqMvCrg0ds7bT3LBcZIp0xjyQYXP1dwy13KPeVjaoi8KWFVGLjgWOO+Y57RtBp1Squx5UorxcXada9l1NqoS1+DQmDjvmOSCc4pzjknsGqkBptCucyO7I2lud0iAOTQGzjjCnHWOctYxyrjJOezMjNVL3M7GuJOLcS8XZ6si3ZQKmYxZi5uTziDH7X5OOAKMmuzDaLHV77FSSPM4n+JxPsVyPs1mOTeEW0wqNbM2N3M2N3M2FzM2F9NW5xGDL4gi+7UKm8U8W8U8W6UC26UCO6UChdYhmSyXyQiazITNNsJmC2GzlZDJQshsJWgyPxceEkWRXLNBqlYjVZWgoXStRvoAIqrXyTXqFJrPb46Sy2RYNVpsOh1WrQQLWbVazBoNZo1WIlbVaowH8JBafUjCqqSoW6t8fh3+X4cIokir1xsQ2oeZS609gIbabaqdDtVOm3KrRaXdlviRgSMstpqUW61PPVcOnR6XXo/LYMRjMOAxGvEMHLHPKK1W7bMcgiiKlNotYtXyMMuLlstEKpLj368d7Tp26Q1MWO1MWO1MWh1M2RxM2ux49MajRQXtFuulrBSYFDOsFjOsl3JDLkItVzBjc7Fo97Dk8HLM4WXG5ho6h4NM+EE+wYPCPvdzCbYqWcTB/ztrcXPaGeS0K8RZZwivXjLyPaHPeiXN7dyelHnnI8My1nGjk/OuMS66xjnrHMV8MBW1WeJmfosbuU1uDQI8OTIWrCEuuaZ5wTXLtMk3zBbuFNa5kX/C7cIqtV4TtVzFKds0l51LXHQsYBlUIq1UNriZf8DNwgPK3QoquYpT1gUuOk9z2raEVqGh2q1wv3Sb24UbbNXWEREJ68c577jEGdsFzCoLjV6Vx+VrPCi+T7Sxjgw5k6bjXHJ+nRnz6c+PI/AvOMR/8IdXcKr9nLK/wgnrFSxqJ61+k3vF29zIf8xGbRWAccMU5x2XOG07j1FpotVvc6fwiI9zt3lQWqEv9nFpHFxynOai8xTjhpEh3v9x9hEf5R6yWpHqe0M6N5eci1xyLg1TvVqvxY3cJh9l1riWXafcbaCQyVmyjnDZNcNF5xRTg5ui0+9xrxDlWmaba9ltVstSb4FZpeWcU4pEzjvHmDC5hqntbrXAjUyEm9kIt7NR0s3a8D2nnUFOO4OccgZZsh9yAoIoslPOcz+X5EFun4e5JGvF7DAldmj1LDm8LNg9LNo9LNg9hIyWIxuz0GywVsixms+yUcyxVsiyVcxT7x5Ggw6tjgmrgwmrnXGrjXGrnVGLjZDJ8kxEL4gi2XqdWKVMrFyW4KFKhUS1QqJSIVmr0ukfnb6pkMkkWMhgwGMw4jIYcOr1uPQGnHoDdp0Op16PTavDon1+Y9nzRBBF6p2OBA91Bs1lnS6tQdVQq9ej1e3R7h1G651ef0DuCk9BQwJ94ZecNSSXSeOnn1L1gIBWKRRolFL2oVUq0Q2ckk6lRK8eNJKpVUPn9cs6q74gUGq1KDSlrCk/yKRyjQbZRp1svT5wtHXyzcYz4zh0SiV+kwQJBcwDaMgsQUIhixWHTvfMd2n1ukQrZXbKRXbLBXZKRbZLBbaK+SOZoVmtYdruZMbuZNbuZMbuYsbufIZY3q0WeVJIs1JIs5xP87iQGh5HLVewYPdwwuXjhMPPSZf/yH1c7bR4UNjnXi7O3Vyc+/n4MJsJGaycc41w3h3mgjtMwGCRPlMUWC+nuJnb5WZ2lzv5CM1+F4VMxpI1wCX3BJfdkyxa/cOpqivlONezG1zLbbBSjgPg0ph5wTXDC+45zjomhqTz4/IO13KPuZZbJtMuIkfGMesEL7qOc9m5NOQV1ipb3Mjf50b+HqVuBY1czRn7MS47z3DCuoBKrqTYKXC7cJ3bhevEmhHkyFmwHOOC4wWOWU6ikqvJtfe5X3yf+8X3OGN/nS95f/vz4wgmj42I71z/GSP6GURENmvrXM99yL3SLTpCB5fGwwXHC5yzX8KlcdMX+zwurfNh7ia38g9pC23saiuXHKe55DzDpDGMTCYj1SzwYfYBH2QfsFGVSJ0pY5DLrmO84DxG2OABINeq8EFmlQ8yK9zN79AV+5hVOi67ZnjBNct559QwethvlPgovcmHmU1uZndp9rsoZXJO2kNcck9w0TXBvNU37MaN1Upcz+xxPb3HjUyETEsy/G6tkXPuEc46Q5x1jTBlcQ0NX73b4UFun7vZBHcyCR7k9oebxaRSc9zp45jDxzGnj2MOL76nMFhRFIlWyizn0qzkM5LmsqSfStUdWh0zdhfTdgdTNifTNgeTNgc2re7IdRFFkXS9xm6xyG5J0kipRKRcIlouPwN3uPSGgZEx4TeZ8ZtMeI2mYVTq0Ok/E//vCQLFhgQJ5esNik3p53KzRal5ABG1qLQkMrXablNtd6j/ClDR0yIZ7U9UDcnlwxJRCRoanAtAFHmqxFSgJxxCQ11BoNv/1cdOywCDWo1Zq8Gk0UgZj1YjZUE6KQuy6qTMyKYfVAoZ9Nh0us90lD1BGDqG/eoAFqpWSFarJKoV9qsV8s3mkfcYVCpGLFZGLFZGrVZGrTYJFrLZcOqOlhGLoki22WCrmGezmGOjmGezkGetkD3iIAJGM/NON/MOFwtOD4tONz7D0fs1Ui3xOJ/iUT7Jw0GGe5A5OLR6Tjr9nHYHOOMKsuT0DkuMe4LAainN7WyUW9kod7IxioOy6KDBwgV3mIvuUS55RnHrJM6tI/R4XExwNbPN9ew2y0WJSDartFxyTfCiZ4oX3JM4tVKWn29XuZ7d4OPsGjdymzT6HbQKFRecU1xxz/OCaxbLAELaqsX5KPuIj3OPiDUyyJCxaBnnivsELzqPYdeYh07hau4ON/L3qPbqGJR6LjlO86LrHDOmceSDEfa38te4WbhKqVtEr9Bzxn6Ry46XGNGPISLQF3uoFdrPjyM4c+aM+PNrb3M9/xFXcx+Q62TQynWctV/gguMFxg1TyGQyIvU472du8HHuNqVuBYNSzwXHKV50nmXOPIlcJqfQrvB+9j7vZ+4PI/8Z0wgvuY7zous4Pp0DgGSzyLupJ7yXXuZxKYaISFBv54p7nhfdcxyzjgwjhEfFOO+nNvggtcFmVSKQA3orL7gnecE9yXnnGIYB5FLptLie2eOj1A5XU7tE6yUAXFoDF9yjXHCHOe8eGRJgAIVWg1uZOLfSMW5n4qwU0vRFERkwY3Vx0iVFR6ecfsYtjiOVGfFahUeZFI+yki7nMlQHG1EplzNptTPvcDPncDHrcDFrd+HSG46c/54gEC2X2Czk2Srk2SoU2C7k2SkVaTyVMWgUSkYsFkatkrEImS2DVYown55f87R0+32y9TqpSo1UrUamViNdlSLXbK1Ott4gV29Q+hSYCCRjadNpMWu1WJ4ymiaNRiJcNRqMahV69SE0pFNJBK1WKZWQSjooG5XL/8phI2nstDAkpFs9KQs5IK2b3S6Nbo9GpzPMYGptqVqo2pbgoUq7TbnZotySIKKnz//TIpfJsOulDMppMOA2HqgRj9GAx2TEazLhMny68210u8QqZeLlMtFKmVi5RKRcZq9UJF4pHykmMKk1TNjsTNjtTNrtTNodTNkdBM2WIw5JFEVS9RprhSwr+Sxr+SxP8hl2S4XhtbVrdSw6PRxzeTnm9nLc5cVjOHyKYE8QWC9leZBLci+b4H52n52KVEqqlis45vBy1hPinDvIGXdwyFsIoshGOcPNTHSYdR+UO0+ZnVz2jPGib5xzrpFhtl3qNLie3eFqZouP0lvkBlVJi1Y/V7zTvOKZYdbilRAAoce9wi4fZlb4ML1Kpl1BIZNzyj7GK54FXvYs4NRIDmevnuSj7EM+zDxkr5EaZAqTvOI+xYuuY5hUenpCn4elFT7O3eZ24SFtoYNL4+Al13muuM7j07kRRIG16hOu5z/iQfEOXbFLQBfisvMK5+2XMapMnx9HEF4KiV//t68iIDBtnOOy8wonbWdQyzVUuzU+zt3mvcx1dusxFDIFp2yLXHFd4JRtAZVcRaPX4uPcI95J3+VBcRMBkQljgJddJ7jiPoFP5wRgv1HknfRjfp58zGpFqvGdNvkGF3Ge8UHVQLPX4Xp2h3dTa3yQ2qDQaUhRv2OElz3TvOSZYszoRCaTIYgiy8UkHyS3+TC5w8NCgr4oYlCqueAOc8kzxiXPKFNm59DwFFtNbqSjXE9FuZGOslEa1D0rlJx0+jnrDnDaHeSky49FfZhaVzttHmZS3M/scz+d5GEmSX6A5avkcmbtLpZcXpZcHhacbqZtTrTKwwatgwh/LZdjLSdt0o18np1C4UhTkN9kkja9zc6YzT6MCn1G03Oj0HavR7xcIV4awEPlCvFyhf1KlWSlQrb+LEyhUijwGA04DQZcBj0ugwGHYUB+6nWS6qTVotWi+hSy+RfJgXFud3tDw9zpfQIa6j9VNfRUY9lzoSGZlC3I5XKUT8NDigE0pDwgpRVoVZLz+Y/97iCd23KrRaHRlDKkRpN8o0G+3iTXOHCidbK1Btl6nd4nppsq5XLcRgM+k4mAxSyp2UzQYiZoteA3m55L5PcEgf1qZZgNbhcL7BQLbBcLZOqHvSk6pZJJu4Nph5MZh5NZp4s5pwuH/ugjRhvdDqv5LMu5NMu5DI+zKTaL+SGn5TUYOeH2cdLt46THz5LTg051GFjkWw3uZRPcycS5lY6zXEjRFQTkMhkLdg8XPCEuesOcfcox9AcZw9X0HtfSu9zKRukIfdRyBaedIV7yjXPFO8G0xTXYywLr5TQfpDf4IL3B42ICEfBqzbzsneFLvlnOOMOo5UoEUWC1nOCDzArvpp4QbUhjbE7YwrzmXeIV7+IRp/B+5gHvZ+6TaGZRyhScs8/xJc9pLjgWUCtUNPstbhce8n7mBstliSuYNU3wqvsSF5yn0Cm0NHp17hRvcDX3AZHGLi86X+Fvj36OxlB7F9zi//jWf88l5xU8Wi+CKPC4vM476avcLjykJ/YYM4R4xX2Ry86zmFVG+qLAveIGP0/d5mruMW2hi0/r4FXPaV5xnxrCPtlWhbdTj3g7+YgnA7xvzhzgNd8Sr3gWCOqlDKHabfF+ap2fJ1e5mtmm2e9iUmp40TPFK94ZXvBMDuGhaqfFR+ld3tvf4oPkNvl2HRmwaPPxkm+cF73jnHAEhsRXo9vhZibG1WSEa8kIK0Upq9ArVZxxBznvCXHeE+KYwzfclKIokqhVuJNKcDuV4G5qn/VCdhhVTVjtnHD7OOH2cdztZcbuRPNUV64giuyViixn0jzJZniSzbCazVBsHZYT+oxGph0uZhwOphxOpuwOJmx2DOpnG8Ca3S6RYondQpG9YonIQKOlMuna0SeWqRQK/GaTpCYTPrOkXqMRj8mI22jEpnt+89PTIooizW6PYqNJsSFBRJVWS4qYm22qrTaVltRhXG93qLXb1NsDnqAjdRa3u73n9iv8pxSlXI5WJXEFevWAH9CoMWrUg0xGjUkrQUJmnUaChHQDaGgACWlVv/gptIIoUmg0SNfqpKpV0tUayWqNZKXKfqXKfqVCqlo74izkMhk+k4kRm4Ww1UrYZmXUZmXUbmPEakGjfPZzK+0WW4UCm/kcG4U8G/kc6/kcucZhKanbYGDO6WbB5WbB7WbR5SFoNh+55s1ul5V8hgeZFA+zSR5kkkQr5eE5W3C4OeXxc9YX4IwngPuprKHZ63I/u8/NdIwb6Sj3s/t0hL6E/Tu8XPaNctkX5rQrMNwXrV6X27kYH6d2+TC1zUZZmgbg05t52TfBq/4pLrpH0Q0y23y7xoepTd5LrXMte2gTrninec03xwvuSXRKqTR8p5bm3fQTfp56zG4tgxwZJ+1jfNl3jFc8i8MKpM1anHfT93gvc49Cp4JBoeWK+wSve86yYBlDJpORbxf5MHuL9zLXSLYyaOQaLjlP8yXPZaaN0mtijQgauRaPzvv5cQSnz5wW7965S7FT5r3MNd5JXyXTzmNUGnjRdY5X3ZcYNQQBiDcyvJW6xdupO+Q7ZUxK/fBEzpklbqDWbfFuepmf7j/gbkEaKTtj9vOad4nXvEsE9FLpVbnT5N3UGj/bX+FaZpueKODWmnjVO8trvlnOOEeHxjxRL/N2YoN39je4lYnSEwWsah0vesd52TfBi95xHFoJchFFkZVihg8Su3yU3OVuJnEYibgDXPaGuegLc8zhHR5fFEV2ykVu7Me4lYxzKxknWZfmsRtVak56fJz2BDjl8XPc7T1CwomiSLxS4WE6ycN0isfpNE+y6SERrFYomHY4mXe6mHO5mHO6mXE4sWifrfYpNpts5vJs5wts5fJs54vsFArsV44+ON1l0BO2WRmxWglZLYxYLQQtZgIWC26j4TPx63avR6ZaI1Otk6nWyFaliDZXr5OvNSR+oCHxBO3ep+PuKoUCk0YyokaNGoNGqh4yaNQSMatSoT2Ah1Qq1AMCVz2Ah9TKwYNkFJ/gCGRPcwRHy0eHHIHwCY7gYHTFABZq9/oSLNSVYKFWt0dz4JzqHalaqNHuUhvwHNVW+5lo/mnRqZTYDXocBj12gw6nwYDTqMdpNOAyGnCbDLhNRlwmw6eW6oIUJadrNWKlColymWjpUCPFEsXmJ6rFLGYmHHbG7XYmnXYmHHamnA5Mmmcf5p5rNKRMM5dlNZdlJZthu1gY/l8WjZZFt5slt5fjXi/HPV68RtORY+SbDe6nk9xNJ7ib3udRNkWrJ3FRYbOVc74g53xBLvhDhEyW4fta/R73sgmuJyNcTUV4mEvSF0V0ShXnPSFe8o/xkn+MCfMhJJtsVPgwuc37yW2upnep9zpoFEoue0b5kn+a1wJTQ66g1e9yLbPNu6k13k2uU+420SlUvOiZ4g3/PC95podw03Y1zTupx/ws+YhoI4dSpuCic4qv+E/wonsOrUJFXxR4WNzk7fQdPs4+oiV08OucfNlzlte9Z3FrbYiiyEZ1h3cy17iWu0tbaBPS+3nNc5krrgsYlPrPV/nowslF8R/90f+OW4UH9EWBBfM0r3le4JzjBGq5ila/wweZB/w0dYPl8i5y5Jy1z/KG7xznHQuo5Up6Qp8buU3e3L/PR5lV2kKPkN7BG77jvOE7TtjoAqDebfNuao2fJJ5wNbNFTxTw6yx82T/P6/55jtkCw9LOjXKWt+JrvJ3YYKUkPat00uzkS/4pXvVPccIRGDZulTstPt7f493ENh/u75JtSunzrM3FFf8Yl32jnHMHhzj6Aal7bT/KtUSUG8kY2Yb0HpfewDlvkLO+AGe9QWbtziM4b63T4WE6yf1kkvupJI/SySHxp1YoWHC5WXR7JHW5mbQ7noEnWt0eW/k8a5kca9ksm9k8G7kc2fphVKdXqRh32Bi32xm32xiz2xi12xi1WZ+bNRz8X/l6g0SpQqJUYb9cYb9cJVmukqpUSVVqFBvNZ96nlMtxGPQ4jQfGbgARGXRYdTqsei02vW4QNWsxazV/o8pD/9fKQfbzdMZTakqZUKkxgIYGkFCh3iA3cJjPe1CP06DHaxlkYWYjfqsZv8WM32oiaLVg/YxsrNJqsTfI/HYLRXYKRXbyBXYKxSNVYD6TiWmXgxmXk2mXk1mXkwmH/Zn7rN3rsZbP8SSTZjmT5nEmzXo+N3QOXoOR414fJ70+Tvp8LLk9R7imTr/Pk1yG2ykpOLqTSgyb5IImMxd8IS4FRrgUGMFrOHQq1U6bG+koV5MRPtzfHXIMQaOFK/4xXglMcMk7Muyybvd73M5GeXd/i3f2N4jXy8iAE44ArwdmeCM4w6hJCiB7Qp87+Qg/21/h58lV8u06OoWKK55pvhpY5EXP5HBA5EY1yVv7D/lZ8iGZdgWDQsOr3kW+HjjJCdsocpmcZq/Nx7lHvJW6xcPSFjJknLHP8BXveS46F1HJlTT7La7m7vDz1Mds1yOo5Sp+M/h1vhP6yn96RyCTyWaAP37qV+PA/1EUxf/nU695GfgBsDv41Z+Lovh/+azj2mfd4rd+/+/wiusir3lfIKDzArBb2+dH+9d5J32Her9FUOfiDd95XvecwaGRooGdWpofxu/yk/0HFDo1rCo9r/uO8VX/SRYswSHJ83F6ix/HH/Neap220MOrM/MV/wJvBBZYsgaG5Z3LxRQ/ja/xk9gqkVoRGXDSEeTLwRleD0wPbwaA3UqBd+Jb/Dy2ze1MjL4oYlFredE/yhX/OFf8Y7j1h+lssdXkaiLCx/EIHycixKtSg5lbb+CCP8RF/wjnfUHGLLYjGzVVq3JnPzHUtXxuaACm7A6Oe72c8Pg47vEy7XA+sxmr7TbLqQxP0hlW0hlWM1l28oUhZKJVKplySpt60ulgymFnyuXAa3o+J9AXBPbLFfbyJaKFgRbLxItlYsXyMII7ELNWg89iwjuAiDxmI26TEY/ZOIxmLbpfvlwUBs8n6HSpttrUWm2qrQ61Vof6U/BQsyNF4c0BRNTqSvxAu9ej3evT60uRfO+pEtJDfkCaJfS0yOWyYbYgl8mG3IDyoDFNIUejGhDSSuWQI9CqlUNISK9Wo9cMyG2tGqNWymhMWg1a1a/m2PqCQKnZOpJdpSo1MhUJDkpVquyXqzQ6Rwlng1pNyGYZ6ojdyqjDSthuw2M2fuo1j5crbObyQ93I5tguFIfVUiqFgimng3m3i3mPiwWPmzm3G736aBFBu9djJZvhYTrFg3SSh6kUkXJJOoZczoLLwxm/nzP+AKd9gSN8gyCKbBRy3EjGuJ6IcTMZGzqGCaudFwJhXgyOcsEfOtIhHauV+SCxw/uJHa6lIjR6XTQKJRe9I3wpOMlrwQl8BvPw3lovZ3g7scHb8XWeDILAWYubr4Rm+VpojgmzxDv2RYG7+Qg/TTzh7f0VCp0GRqWG13xzfCO4xDnXGAqZXIKyC7v8dP8B76aWqffb+HQ2vu4/yTcCp/HrbQAkmzneSt3mZ6lbZNslrCojb3jP8TX/RfwDrnOnFuVn6Y9YNE/zovvcX29GIJPJFEACOC+KYuSp378M/DeiKH7jlz3WzPFZ8dG9R2gUajr9Lh9mH/LD/ausVPZQyZS85DrOV/0XOGaZQCaTUe+1eTv5iL+M32G5HEMhk/OCa5avB05x2TWNSq5EFEUeFeP8IPaQnyaeUO42san1vOFf4GvBRU7aQ8PIf7WU5sexVd6MrhCtl1DIZFx0j/JGcIbXAzO4dJIxF0SRR/kkP4tu8rPYJltlaSTujNXJl4KTvBKY4KTLP8wS+oLAg0yKD2K7fBDf5VEmhYhUgXHRH+JyYITLgTATVvsRA5CoVLiRiHEzEeNWPD7ETfUqFcc9Ps74/Zz2BTjh9WL+RDNXs9vlSTrDw/0Uj1NpHqfSRIql4d+9JiNzbhfzbjezbiezbhcjVstzK0sanS7buTw72QLbuQK7+SK7uQKRQvlIqaROpSRksxKyWQjaLAStZoI2CwGrGb/FhPE5MMInpS8IFOpNctUBPFRrUKw3ydcalBpNinUpOq40BlU1jdZnQikHIpfJJHxerZKMskqJ6mloSCENoDvoC1AcdBbLZTB4XCUwII5F+sLhhNJ+/7CruNcXhkR0t9+X+ha6PZrdHq1u9xni+XmiUiiw6CWOwDLIgKwGKSuyGfQ4DDocJj0OowQLWfU65PJfzLNUWm32y1KGFi9KpH7sKcf9dKSvVSoZddgYc9oYc9iYcDmYcNoZc9qeyxd0+312C0XWsjnWMllW0llWM1nyA75ALpMxbrdxzOdlyefhuM/LjMv5zLFyjQYPUvvcSe5zdz/B43R6WMAwZXdwNhDkfCDIhUAIl+Gw6k0QRVbyGa4lolxNRLiVjNPs9VDK5Zzy+LkSGuNKaJQFh3u4x9r9HrfTcd5NbPNOfItItQTAot3Dl0em+HJomhnrYXFHol7mrfgaP42vcS8XRwSmLS6+FprjGyMLjD2VKdzM7fJmfJm3kyvUex3cWhNfDy7xrdBxps0Sb9nqd3gv/YQfJ+5zOy9NQz7rmODbwTNccc+jGUBHdwprvLl/nRt5qfv4jG2WbwYucd4+j2IAKf+1Q0MymezLwP9JFMXLn/j9y/yKjuDMmTPimx+/zQ/3r/GT5HXK3ToBnYtv+i/xuvcsZpV04VfLCf4idou3kg9p9DuMGd18K3CGr/pPDLt7U80yP4w94gexB+zW8mjkSl71zfLN4DEuuSeGmPxetcAPo0/4YeQJ29U8CpmMS54xvhqc5cvBGWyawTN8BYFbmTg/jazzVmyDVKOGUibnvCfE66EpvhSaJGQ8xCpLrSYfxPZ4N7rDB7FdSu0WcpmM4y4vL4VGeSk4xnG3d+gsALKNOtdjUa7HY1yPRYeG36rVcs4f5GwgyFl/gHmX+8j7RFEkUipzP7HP/f0kD/ZTrGeyw0jfZzKx5POw6PWw6HGz4HU/U80B0mbeyxdZT+dYT+fYzObYyuSJlw6fd6yUywnZLEMDMTrQsN2Ky2j4zEi22++TLtfYL1VIlaqkKzVS5RrpcpVMpUamUqdQb9AXnr13VQoFNoMWq16HzaCTCFS9FrNOi0knkatmrQbj0zyBRi1F3xoVKsVf//MJRFGk3evTaA9I7E6XWqtNvd0ZZDKSc6s021SaLUoNCR4qDZxfqf58p6eUy3Ga9LhMRjwWKcPyWIx4LCZ8Vkk9ZuNn9m4IokiqUiWSLxEpFNnNl9gbOPx4qTLMPOUyGSN2K1NuB1MuB9MeJzMeF2G79ZkMQhRF0rU6T9JpllMZllNpHiXTQ+egUihY8Lg54fdy0u/jVMCPz3yUK2j3ejzOpLm9H+dWIsHd/cRwVMqU3cHFYIiLoREuBkNHgqF2v8fd1D4fxvf4ILbLan7w3GC9gZdDY7wanuDFYHj4HA1RFNku5/l5fJufxTa4n91HBEZNNt4Ymear4WmOO3zDeyjdrPKTmIQY3MlJvUkLNi/fGlngGyPzww7nVr/L+6l1fhh/xMdpCYKes3j5tdAJvh5cGj5zIdUs8aPEXX6YuEeyWcSi0vP1wCm+Ezw7hLNz7RI/Sd7kzf3r5DplXBor3/Rf5qu+C9g0f83lozKZ7H8G7omi+P/+xO9fBv4MiAP7SE7hyWcdK7AwJi7+D78OiFxwLPCtwAuctE0NH8r+s+Qj/ix6k9VKAo1cxZd9x/h28CxL1tAQ+nk/tcGfR+5xNbONgMhpxwi/FjrBl/3zw2mfxXaDH0VX+EFkmft5qXz0nGuEb47M80Zwdkj29gWBm5kYP95b463oBrlWA41CycuBcd4ITfGl4OQRsnavXOTnkW3e3tviTkoqH3VodVwZGeOV0DgvBsNYn2rWavd63NqP83E0wkfRCGs56WY1azScDwS5GBzhfDDEjMN5ZJP1BIHVdIbb8X3uxhPcTeyTG2D6BrWa4z4Px/0+jvu8HPd5cRmP9guAFOWvpbOsJjOsprKspjJsZvLDqFAplzPqsDLtdjLpcjDpliLCEbv1U8sgRVGkUG8Sy5eI5kvEC2VihTKJYoVEsUymUn8GyzbrNHgtJtxmI26zAafJgGugDqMU9TqMOgwa9V+ZIe/1pTLSdq9Hp9sfwkIHa39A/j4NDz0tB7CQQi6THnQvl6EcNKWpFHKUAzJao1KgUSn/yqagHkT1hUGmlK81yFXrZCp1iWivDCChco1a+2hznVIux2MxErBZCNrNBO1S1jbisBJyWLHqny0YOJB2r8devsh2tsBWNi/xSOkcsWJ5eD11KiXTHhfzXhezXhfzPjczbifqT0T8oiiSrFZ5sJ/iUTLFg/0ky6nMEEb0mUycCfo5HQxwNhRgyul45t5/ks1wIx7lRjzGrYQU+ctlMpbcHl4cGeWFkTAnvb4j92mmUeeD2C7vR3f4ML5HtdNBLVdwMRDitfAkr4Un8D1FWGeaNd6ObfFWdINryQg9USBgMPPV8AxfD89ywuk7Qja/GVvlh5EnPC4mkQEXPaN8O7zIV4Kzw3EuhXadnySW+X70PqvlFCq5gle9M/x6+BQXXeMoZHIEUeB2fpu/iN/mg/QqPbHPafs4vx46xyueBamnSehzPf+EHyQ+5kFpk694z/PfzP2tvz5HIJPJ1EhGfkEUxfQn/mYGBFEUazKZ7GvAfyeK4tRzjvFPgH8CYJ72nP5v3/yf+Kb/Bbw6Kc1KNAp8L3qDHybuUuk2GTO6+W7oPF/znxwa9mi9wPf27vIXsQfk23U8WhPfHjnBr4VOEDZKZaFdoc8HyW3+bPcR7yU36QoCMxY33w4v8s3wAn79IS54P7fPX+6u8uPIGtlmHZ1SxauBCb4WnuGVwPiQWBJFkZV8lrd2N3hrb4v1gtQHMGt38lp4klfD45xw+47cyNFyiff3dnlvb5ebiRitXk+qIvL7uRwKc3kkzKLLfcR49ASB5VSam9E4N6Nx7ib2h120IYuZU0E/pwN+TgX8TDkdzxieTq/HejrHo0SKx/tpnuyn2c4VhpvYptcx53Ux53Ux43Ex43Ey5rR/atVJq9sjkiuyky2wmymwmysSyRWJ5EpHDJBMBm6TkaDdQsBmxm8zE7CZ8VlNeC0mPBbTM7jxL5JmpytFyLUmlYYEDZUbUhRdbbapNdtSc1ZTKiVtDKpymh1JW53eLwUl/VWKUiGXmto0SnQDbkCvGZSOajUYdQN+4CCz0WuxGCRYyGqQMiDNL1E2+rTUWm1S5RrJUpVkuUKyWB065FihTL7WOPJ6i07LqNNG2GllzGVnzGVjzGVnxGFFrXz+fdDsdtnOFgYZZJbVVJa1VJZqW2pkVMnlTHmcLPo8LPo9HAt4mXQ7jmSzIGWKa5ksdxP73EskuRtPkK5JBRNWrZazoQDnQkHOjwSZdbuO7KdOv8+DVJKrsQhXoxEepFMIoohRreZyKMzL4VGujI4dqUrq9vvcTiV4N7rNz/e22auUADju8vLG2BRfGZti3HrIAZbbLd6Ob/KTyDof7u/SFQRCRgvfHJ3jW2PzzNpcw9fuVvP8ZeQJf7H3mGi9hE6h4o3gDL8+doyL7tHhd18vp/jz6H1+FH9EqdPEr7Pw3fApfn3k5HAoXr5d5Yfxu3w/fptks4hTY+I7oXN8J3h2+OzmSD2FWq7Er3f9tTqCbwP/XBTFL/8Sr90DzoiimPu015w6c1q8d+cuoihyt7DDH0Wu8VFmDblMxiueBX5j5DwnbWPDh19/kN7gj3bvcC27jUIm44pnmt8In+YFz+RwtMN2Jcef7Dzk+3uPybfrOLUGvj2yyHdGl5izeYafvVMp8Bc7T/iLnRWitRJquYJXghN8c3SWVwMTR4z/41yaH2+v8+bOBrFqGblMxllvgDfGpng9PEHIbB0etycI3N1P8M7uNu/u7bBTlEZOj1ptXAmP8lJ4lPOBEPqnmmZEUWQzl+fqXpRrkSi3Yomh4Z902Dk3EuRcMMiZUACv6ZCEPpB0pcb92D73Y/s8SKRYSWaGWL7DoGfR72HB52bR72He58ZjMj432u70+uzlimykcmylc2yl82yl88SL5SHWLZOBz2Jm1GUj7LASdlqlKNNuJWAz/1IGrC8IFKoN0uUa2XKdTKVGrlInW6mTrzbIVxsUapK2Op8+vVOlUGDSSeSrYUDA6gcQkU6tRKtWoVOrJPJWJZWPqpRHOQKlYlA+qpAPGsZkg4fTHFwbqYRUEAY8gSBlEAelo73+oKO4K80zOiCnm+3ukLQ+cE61ARxUb3WoNj+7bNSgUWMzDrgBkx6HUY/TbMBlNuCyGHEP1Gb4xXwBSBlhYpCxRfMlyZHnS+xli6Qrh/0gCrmMsMPGhMfOpNvBlNfJtNfJiMP63ExHFEXipTJPkhlWkhmWB4FHuSU5B51KyYLfw8mgjxNBPydDPuwG/bPHKFe4HYtzK5bgVixOtHQIk54fCXJ5dIRLo2HC1qOztCrtFldjUT6M7PFhZJfkoLdl3uni1bEJvjQ2zpLHe6Qrf7tU4K29LX62u8nDrDQnbNrm4Kvj03xjYoYpm3N4/HKnxc+im/xwb5WryT36osiM1cmvjS/wa2PzR4jme/kEf777iB/HVqh22wT0Fn5j7Bi/MXYc/2AGUqff453UGt/bu8uN3C4KmYxXvLP8rbGznHdKtq4vClzPbvC96A2u5TZQyhS85l3id0YvMW+Ryun/WjkCmUz2R8Bboij+m+f8zQukRVEUZTLZOeB7QFj8jC92+sxp8f/8g3/JH+x9zFY1hVWl5zuhc3x35DxurXTiCu0634vc5Y9375BqVfBqzXx39BTfHTk1nDve6nX5SXyNP9q+z51cDKVMziv+SX5z7Dgv+Q75gXK7xV/urfJn2495kJNSukveML82vsAbI9OYB52JoiiyWsjyw601frS9TqxaRimXczkwwlfHpnl9dBKH7vBmbnS7fBjZ4+2dLd7d3aHcbqGWKzgfDPLK6Dgvj44xarUd+d/zjQZX96J8tLvHx7uRYflm2GblUjjEhZEQ50eCOA1HYR5BFNnO5rkTSXA3ts+9aIL9slTrr1EqWPR7OB7wcSzg5VjQi89seq7RrzRbrCWzrO5nWdvPsJbMspMt0OtLxkkplzPitDLlcTDhdjDutjPushN22n5hk1O312e/WCGRr7A/gIqShSrJosQVZMvPdsLKZGAz6HGZDThMeuwmPXajFB3bjHqsg4jZrB+sOi1a9a8WNf9NElEUaXV7UnYzyHJK9RblepNivUWh1qBYa5IfkOi5Sp1S/dlnDKgUCjxWI16rCa/NRMBuxj/QgN2C12pCqfhsqKre7rCXK7KTKbCTKbCdybOZzhMrlIYBgEapYNLjZNbvYtYn6YzPhUHzbDmxKIpEi2UexZM8TKR4lEixmjx8lkbYbuX0SIDTI37OhIOM2CzP3KP7lQo3o3GuR2Jci0RJVSUDH7SYeWE0zItjYS6NjhzpaxBFkfV8jvf3dnl3b4d7yX0EUcSlN/Da+ASvj09yMRg6Qljv1yr8bG+Ln+xscCs5IIRtDr4xMcs3J2cZsxzu21yzzpuRdb6/84T7uX0JEvKG+Y2JRb4yMj0MHlu9Lm/vb/C9nYdcTUtFlC96x/mdiZO86p8a2qNILc+fRu7y/eh9Sp0mowYHvzt+jm+Hjj+FfuT40+h1fhS/R73f5rgtzD8cf4VL7pm/Hkcgk8kMQBQYF0WxPPjd/wZAFMX/r0wm+xfAPwN6QBP4r0VRvPZZx7TMBMWZ/+7vMmH08Dujl/mK7zgahRQpr5VT/PvtG7yZeExH6HPBOcbvjp/jimca5eBE7lbz/MHWPf5s7xHlTotRo53fGj/Bd8eWhg0hgijycXKPP9l6xM+im3SEPjNWJ78+vsi3x+fx6g9TyFilxF9srfKDzVW2SgUUMhmXA2G+MTHDl0cnj+D9lXaLd3Z2+On2Bh9GIrT7PaxaLa+OjvOl8QleHBk9UsYmiCLLqTTvbe/ywc4uj5NpRMCm03IpPMLl0TCXR0cIWMxHzpEgimxm8tzci3F7L87tSJxSUzIILqOB0yN+ToX8nAz5mfG6ngvv1NsdVhIZluMpluNpniTSxArl4d9dJgMzPhczPifTXhdTHgdjLtszeO/T0u33iefK7GWLRLJFotkS0VyJeK5MqlQ9wg0o5XI8ViM+mxmvzYTHOiA3rSbcgwjXbtT/QoP1y0ivL9Bsd6i3DqAhCR5qD6p5Ol1pzMQRjqB/WEIqlY8ePaZczmDyqPxw+qhCLvEESrnUqDYoH9UMMhGtSoleq0Y3gIX+KniDbq9PvtqQiPZyjXSpRrpUJV2ukSpWSRarZMq1Z869z24i5LAScloJu6yE3TZGXTb8dvNnPx+502UnW2AzlWM9mWMjlWUtmaXUkO4/mQzGXHYW/G4Wg14Wgx5m/e7nBgqtbo+VZJp7sX1Jo/tH7uOzo0HOhYNcGAsRtlufGXS3WyhyLRLj470I1yMx6p0OSrmckwEfL4+P8crEGFNOx5H3FZtNPojs8vOdbT6I7FLvdjGq1LwyNs5XJqd4OTx2ZJxFpl7jp7ub/Gh7nVspaRrBktPDt6fm+NbE7JEO571Kke/vPOH7O0+I1koYlGq+MTrLb00uccoVGH6PeL3E93Yf8qc7D0k1q7i1Rn5r/AS/M3ES3wCebve7vLW/wh/u3uJRMYFeoeY7Iyf4vfHzQ6i71mvxw/hd/ihyja/7T/JPp1///DSUuedGxR98+DMuOKeGMz8+TG/y77avcyu3h06h4luh4/zu2DkmzW5AghXeTW7yHzbv8nF6F5VczpcDs/ytiZNccIeHFyDVqPInW4/4481HJOoVLGotvzY2z29OLrFg9wxfV263+PH2On++ucKd1IBI9gb51tQsXx2bPhL5V9ptfr6zxY8217kajdAVBHxGI1+emOLL45OcDQSP4KHNbpeP96K8s7nN+zu75OoN5DIZx3xeroyPcmV8lAWP+5nNGC+VubYd5fpulJu7MQqDRqyg1czZ0SBnw0HOhgMErc9GUoIgspsr8CCS5GEsyaNoku3MIT/gt5pZCLqZ93uYD7iZ9blwmp4llw+k3e2xky6wncqznc6zk5J4gniufCSqtxq0jDhthJwWgg5JAw4LQbsFl8XwKxvCdrdHodqgWG1QqDYpVhuU6i1KA66g0mhTbbSoNg64gg6NVodW95d7EMx/atGqlVL/gE6DUafBpJe4AbNeg8WgkzgCoxabUY/dpMNu0mMz6lD/ilxBt98nfcAP5CvE82Xi+RLRbIlYrky1dTghVKVQMOKyMu6xM+6xM+F1MOl1EHbbPrNAIF2psbqfYTWR4cl+hifxNNmqhPEr5XKmvU6Oj/g4PuLjRNhH8DkRvyCK7OQK3IkkuB2Jc2svTnbAE3jNRs6Phbg0NsLF8RHcn4BDu/0+9/eTfLizxwc7e6xmpKILv9nEq5PjfGlygvMjwSNBUbvX41o8yltbm/x8Z5tCq4lOqeSV0XG+NjXDK6NHnUKyVuVH22v8YGuN5Vwa+SAo/O70PG+MTg1fK4oitzNx/nTrMT+OrNHodZm0OPidqeN8d3xxONm3Jwh8kNziD7bv8UFyG7lMxpf80/ydqTNcfMpuPSrG+YOdW/wksUxfFHjZO8Pfn7jIaUd4CJH3xD46pebz4wjOnDkj3rlzh06/xw/jj/i3W9fYqeXwas383vh5vhs+hUV9OOfnT3Yf8vubt4nXy3h1Jv7WxCl+e/zEkXr/D/d3+V82HvBOfAtBFHnBF+a3J4/z+sjUcIytIIpcTUT4k7Vl3trbpNPvM2m1853pBb49OUvw6Rb2Xpd3d3f4y/U13t/bpSP08ZtMfG1ymq9OTnPce5QcLjabvLu1w882tvh4L0K718ek0fDSWJhXJsd5aWwUu/7o2OdGp8vNvRgfbe1xdTtCpFACwG0ycGEsxIWxEc6PhghYj2YLIBHDy/E0d/cS3N/b5350n0pT2uxmnYZjIR9LQQ/HQj4Wgh4cxmfLSGGwwcs11hNZ1hNZNvazbCRzRLOloRNRyuWMuKyMeeyMue2Mum2SumyYP6MK5WnpCwL5SoNUoUq6WCVdqpE90HKdXLlOvlKn1nr+iGmFXDYkV00DQ2rUaSSOQCdxBXqNFInr1Cp0GhUaldTcpVENhsOpFMNofjiK+ghHwJFxySIMOAIBQRCHw+qkwXV92l2JIzjgB9pDbqBLq92l3jrgCCSHVWu2qTbakkOrS07teZ3CAGa9BofZgNNiwGUx4LJK3IDHLmVWXrsJu0n/XPjvede4WG8SyRTZyxbZyxTZzRTYSRWI5w8rgpQKOaNuG9M+F9N+JzMBF7MBF47PCBhS5SrL8TSPYykexVIsx1PDhjaHUc/JsJ9TowFOj/qZ9bmfyf5EUWQ3X+TmbowbezFu7saGGcO028nliTAvTY5yesT/TKaaqtZ4f3uX97Z3uLoXpdXrYVSreXlijNenJrgyPobxKQirJwjcSsT5ydYGP93aJN9sYFCpeG18km/NzPJCKHzEEW4V8/zF5irf31whUatgVKn5+sQMvzWzyCmPf3jua902b+6t84ebD7mf20ctV/C18Ay/N32SM+7DLCFWK/GH2/f4k50HFDtNpswu/v70WX4tvDjsrs62qvzh7m3+eO82pU6TRauffzB5idf98yg+bw+vP3X6tPgv/uj/xe9vXyfbrjFn8fL3Jy/xhn9hiKNFa0X+7cZtvrf7kHqvw1lXiL8/dY7XAtPD6LvUbvKnW4/59+v3idZKOLV6fnPyGL8zdYyw6RDjS1Qr/On6Mn+6/phErYpFo+Xbk7P8xswiS87DLEEQRW7EY3x/bYW3tjapdTu4DQa+NjXDN6ZmOOn1Hdl4+XqDtzY2+en6JjejcfqiiN9s4rWpCV6bnOBsKPBMhBUplHh/Y4cPNne5HUnQ7ffRqZScGw1xeXyEyxNhxp32ZzZ4p9fjUSzFre0Yt3bjPIomh3N5xl12Tob9nAz7OT7iY9Rpey6RKIoiyWKV5WiKlVia1XiGtUSWYv1wBETQYWHa72TKJ+mE18GI69NLSZ8+drneIpYtEc+WSeTKJPJlErkKyXyZdLH2DD+gUSlwWYxDY+e0GHCYDVJUbJI4AptJh9Wow6j9qysr/ZsigiBSa7Yp1pqUak0K1cYgG2qSq0jOMVepky1Ja/cTc5jUSgVeuwm/w4zPYSbotBBwWgg6rYTcVky6X9zY1+722MsU2Url2Urm2Ezm2NjPkSodzppymQ3MBd3MBd0shDwshDy4LM8WL4Dk8DfTeR5G96UAJbJPvCj1pxg0ak6G/ZwZC3B+YoR5/7OOQRBF1lJZrm5HuLoT4W50n26/j16l4vxYiCtTY7w8PYb3E30IrW6Pq5EIP9/c4d2tHfKNBmqFghfGwnx1ZorXpiaO8Ao9QeBmIsaPN9b5ydYm5XYLu1bH16dn+M7sPMc93iN24VYyzvfWl3lzZ4NGr8uE1c5vzy7x3emFI+jBWjHLH2484M93lql2O8zaXPydmVN8Z2z+yHiLH0af8O82brNSSmNT6/hbk6f4u5NnhsFtq9/lB9EH/Lvt60TqBUIGG/9i9hW+GTr++XEExqmgGP5v/zEXnGP8o6kXuOgaP0yR8vv8y/Ub/DS+hkIm4+uhBf7B9FkW7b7h+zdKWf7N6l2+v/OEVr/HWXeQvzNzkq+MzAzTwr4g8F50lz9Yfcj7sV1EUeSFYJjfmlni9dHJI+Oad4oF/nx1he+vrZCsVTGq1Xxlcopvz8xxIRA6Am8Um03eWt/izbV1bkTjCKLImN3GG9OTfGVmigWP+4jB6gsCD+NJ3l3f4d2NHXZy0gyUcaedK1NjvDgZ5sxI4JloRxBE1pIZrm1FubkV5V5kn1a3h0wGsz43Z8YCnBkLcno0gM1wNNM4kGqzzXI0xaNIkkd7KZZjKYo1yegrFXImvU7mgi7mgm5m/C6m/S4M2ufPFDqQTrdHJFNiL1VgL11gL10kmi4SzZSoNo8+29hp1uN3WvDZzfjsJnx2Mx67RG66rUYshl88kfSXlW6vL0XgzY5UudMe8ATtA46gR7vbp9fr0+1JEX1fkLqFnx4xcbCbZDw1YkIujZdQKA5HTKiUUu+AWvUUP6BRotWoMAw4AoNWjfJTSjJ/VRFFkWK1KXEDxRqpgkTEpwoV9vMSHFSqHZ3pZDPqGHFbGfHYCLttjHntjHrtBF2WX+jYy/UWG8ksa/Esq/E0q4ksu+lDqNFtMbI04mUp7OVY2MfCiAfdp5QIp8s17u4luLMb5/ZunJ2MtAeMGjVnxoNcmAhxcTLMhPvZAKje6XBzN8bHWxE+2NolMWh6nPe6eWVmnFdnxpn3Prvn7iX2eWt9i7c2tkhWq6gUCl4cC/P12Wlem5o4Mjur0+/zYWSXv1xf4+2dbdr9HuM2G9+ZXeDXZ+fxmQ6dTq3T4c2ddf5o7TH30vuo5HLeGJvi9+aPc8EXGn6PRrfDD3ZX+P31+6wWM5jVGn578hh/d/b0sCFVFEVuZ2P8zxs3+XliA5Vcwa+FF/lHsxeYfGqkxTvJNf715se85pvjn8y89PlxBO65cfHn1z7kmE0qiRJFkavpXf7H1WvcyEQwqTT83uRp/s7k6WHnniiKfLC/y79euc1HyT00CiXfGZvn786eZt7uHh4732zwR6uP+IPVhyRqVVx6A789s8Rvzy0dmV7Y6HZ5c3OdP1lZ5s5+ArlMxosjo3x3bp7XxieODMJqdrv8fHObv1xZ46PdCD1BYNRm5Wuz03x9bobpT5BVnX6fGztR3l7b4t31HfL1Biq5nLOjQV6eHueV6TFCNusz5yVbrXN1Y4+rmxGub0WHkfqUx8H5iRDnJ0Y4PRbAonv+M4P3ixXubSd4sLvPg70kW6kcoiiRe+NuO4thLwshL0sjHqb8zzYBPS19QSCWKbGZyLGZyLGdzLOznyeeKx3pCPbaTIQ9NkbcVkJuiSsIua34HZb/qOoeQRAp15oUKg0KlQbFihQhl2tNStUmlXqLcr1FtS7xBLVGm3qzQ+czppb+snIwgRQOn072v1Y0aiUGrRqTfsAPGCVoy2LUYjFK2Y7VPOAGzHocFj3m/0gHWW91SOTKw6wsmpEcdCRTJFc+fKaAUiEn7LYx7ncw6Xcw6XcyFXDid1g+syS10e6ynsiwHEuzHE2xHE0Ryx2OkZ4JuDg+6uPkmJ9T44FPzRpy1Tq3d+Pc3I5xcztGNF8CwGM2cmkqzOXpMJemws/c56Iosp0r8N76Du9t7PAgnkQQRfwWE1+ameD1uSlOj/iPBG6iKPJgP8Wbaxu8ubZBulZDq1Ty6uQ435qf5aXx0SOcQqXd5qdbG/z56gq39uMDuxDmN+cXeW188shrNwo5/nD1EX+28YRKp82k1c7fXjjBd6cXhs9IEEWRu9kE/2b1Lj+NriMCb4Sm+MfzZzntDg6PtVst8G/Wb/K9vUe0+z1eC0zzz+YuccIRGB6nLwqoFMrPjyM44AgEUeSd/Q3+hydXeVxM4tEZ+YfT5/mdiZPDLr1Ov88Pdlf4lyu32CjlcOuM/L3ZU/zu1Ikjj1p8nE3xb5bv8aOtdTpCn0v+Ef72wnFeD08eiX5Wshn+cPkRP1hfpdbpMGa18RvzC/z67AIe4+GNK4giN6Nx/mJ5hZ9ubFLvdPGajHxjboZvzM08E/l3ej2u7kT56coG767tUG230atVvDw1xpdmJ3lpchST9miqLggiy4k0H6zt8NH6Lk8S0nMLHEY9l6ekzXBhcgTXczBaURSJ5crc3o5xZyvO3e3EMJ03atUcG/VxYtTPiVEfCyPez4QJWp0em4ksa9EMa/EMG7Es2/v5IQErl8kIuayM+x1M+ByM++yMee2MeGyfGgU+T3q9PulijXS+QipfJV2okinWyBYlriBXrFGoPH/0hEzG0ICaDVrJqBq0GHQajHo1Bq0Gg041qNhRo9McRunqQT+BRqVEqZSieaXiWY7geSI83UMw4AZ6fYFuT+II2h0p2zjIPprtLo2WlJXUmx3qrQ61htQAV61L/EC13qJUbVH7RAZ1IEqFHIfFgMtqwGkz4rYZcdtNEj9gN+F1mHDZPnuUxCel1mwTSRfZTRXYSeaHjj2RPxwrYtCqmQo4mQ66mA25mR1xM+FzoPqMrKZYa/I4kuTBXpKHe/s8jqSG982I08rpiQBnJoKcnQrhtZqee4xEscy1zSjXtyJc34xSabWRy2ScCPt4aWaMK7PjTHkczzjHQr3Bexu7/Hxti6vbETr9Pg6DntdnJ/nKwhRnw8Ej50gQRe7GE/xwdZ2frG1QbLaw6bR8fW6GX1+cZ8nrOfIZkVKJP197wvdWlknWajh0Or47t8BvLx5j7Kmy8Favyw+31/kPTx7wMJvCoFLx3ekF/t7iKSaealhL1iv8/vp9/mDjAeVOi5NOP/904Ryvh6aG3zPfqvP7m3f491t3KHdaXHSP8s/nLw8LYj5XHMGZM2fE/9v3/wP//ZOPWCtnGDFY+adzl/jO6NLwoRL1boc/3HzIv1q5RapRY9bq4r9aOMc3R+eOwD9v723xrx/f5XYqMbwAf3fhJJM2x/Dz2r0eP95c5z88esiDdBKNQsnXpqb57YUlzvoDRy5+vFzmzx6v8P3lFeLlCga1mq/OTPHthTnOjwSfaYO/uRvjx8vrvL26RbXdxqzV8OrMBG/MT3FpfOSZYVutbo/rWxHeW93h/dUd8jWpouj4iI8XZ0Z5aWaMGa/ruYYpU65xcyPKzc0YtzZjQ8PvMOk5PR7g9ESQU+MBJn3Pdh0Pv3NfYHs/x/JeipVImieRNNv7uaHxNes1TAfdzIRcTAecTAacjPscv3THa6XeIpYuEkuXSGTKJLJlEtkSyVyFTKH2TJRtNmhw20w4rQacViNOqwGHRY/dYsBhlqJkm0mPyaD5Kxvh8DdFer0+5XqLUvUwAyqUG+TKNXKlOvlynWyxRqZYo948SqIrFHK8dhM+p5mAy0LAbSXglrKxkMeGQffZEN+BNFodtpN5thI51uNZNuJZNhM56gPSXq1UMB10MTfiYXHUw8Kol1GP/VMdZ7ffZy2e5d5Ogrs7ce7tJKg0JIc34rRyfirE+ekRzk2FsD4H0uz1BR7HU3y0vsdH67us7EvBkd9q5pW5cV6ZH+fMWPAZaKve6fDh5i5vrWzyweYuzW4Pp0HPG/PTfH1phpPBo/xet9/n470If7G8ytub21LhiMPOd5cW+M7i3JE+nr4g8FE0wh89ecQ7O9v0RZHLoRH+9rETfGls4kjF4MNMkn+3fJ8fbUsB6cuhMf7xsTNcDowcgY3+dPsx/2rlNrFamXGznX+6cI7vjC8ObVu92+EPt+/xr9ZvkG3VOeMM8b9ffIlL3rHPjyOwTI+Kzv/rf8WYyc4/n3+Bb44sHJnz//tr9/jXK7cpdVqc94T4Z4sXuOIfG57IZrfLn64v868e3yFaKRM0mfn7i6f4rZklzE8RQvvVCv/L44f88fJjCq0m4zYbv7t4nF+fmz/SG9Dp9/n55jZ//PAx1/aiAFwKj/DrS/N8eXrySHmZKIqspDL85cNVfry8Tq7ewKBW89rsBF9dmObSRPiZmv5aq837a7u882SLj9alm9SoUfPizChXZsd5cWbsuTNg2t0e93YSXF2LcG19j62kNP3UatBybjLE2akQ5yZDjLptnwollGpNHu0mebi9z6OdJE8iqWHXrlmvYT7sZT7sYT7sYTbkxmd/fiPa0yIIIsl8hd1Ent39PHvJAtFUkUiqSKl6FKd2WQ34XRb8Tgt+lxmvw4zPacbjMOOxGdFqfrXRE7+sCIIoRemtLu3OYS9Btys9TKbXF+j1Bn0EB70En+gjkMmlbEjxVPagUkp9BGqVArVayja0g+xDo1b+Ut2+/zFSb3ZIF6QsKpmrkMpX2M+V2c+U2c9VKFSOjpJwWg0SN+CzM+qzMxawM+Z34LY9v7v8aREEkXiuxGo0w0okzWo0zWo0M3QORp2GxVEvx8d9HJ/wszTm+1RuSRBENpJZbm/GubUlZa/1dgeZDOaDHi7Nhrk8O8qxsO+5/SSZSo0P1/9/7J11dFxXsvV/YmZmZkZbMjNzbCdxwGFmmuBkwszM4IDjOIaYGWVbzMzMrO5W0/n+kO1YVrckO5k38/K9vVavxFLd27db9546VbVrVxVHiipJKRti41kaGzE9xJfZYf5MCvQe0b8gVSg4WlrFzoISjpZWIVepcLO2ZElEMEsjQ/C1tx1m3yuTsau4lF/zCslubEJfV5eZ/r6sjQxnso/XsA1I60A/mwrz+TEvl6b+PlzMzbk6IporwyKGCTy2SQb4sSiH7wuyaZdKCLZ14NaoeJb4BZ93Yiq1mt21JXycf4aCzhacTc25LWwCVwVEnU9ND6qU/FKZzSdFKSz1Cucf0bP+Po7AMsBLfL9/J4s9Q89/yT2DMr4sSuPronT6FHJmu/tzZ8REYh3czh/XMyjj2/wsvsnPpFMmJdrRhVuj4pnrHTDMK2c1NfJVdgZ7yssQwGwfP66NiibZ3XPE7v+n7Dx+zS2gQyLB1dKCKyLCWBURNqLBq7Wvn99zi9mSU0B5WycGenpMD/BhcUQw0wJ8RtyM/bJBjhRVsievlBOlNShUKuwtTJkV6s+sUH8SfN01ars0d/VxrLCS40XVnCmrRSZXYqCnR6yvK0lBXiQHexHoojliAGjr7iejrJ7MsgayyhuoOOs89HV1CfRwINLHhQgfF8K8nfFwGMnzvhg9/VLK6toor2unrK6Nivp2Khs6hklA2Fqa4ulsg7eLLZ7ONng4WePuZI2bgxXGl6gxdCHUakFvv5SuXildPRK6eyX09Mvo6ZPS2y+jt182lHYZ+KNWIJHJkcrkyAb/M30FJkYGmBgbYGZqhJmJIWZnawPmZkP1AUszYywtTLC2MMHKwgQbKxNsrUyx+JOFc4lMTn1rD/UtXdS2dJ91zJ3UNHXSO/BHCsrMxBA/N3v83O0J8LDH38MBfw97zMdgGKnUampausiraiavqoncqiYqGodqULo6OgS6OxAb4EZsgDux/m5Ym2smMChVagrqmjldWktKcQ25NU2o1AILYyOSgjyZEurD5BAf7CxG0p2lcgUpZTUcLKzgcFEFvdJBTAwNmB7sy/zIQKYEeo+IXPsHBzlYXMH2vGJOVdaiFoJIN2eWR4WyMDwI64vqEOXtHWzOK2BzfiGdEilulpasjY5gTWTYsChBqVZzqKqC73OzOVlXi6GeHsuDQrghJo4guz+kKmRKJdvLi/g8N52yrg5czS24JTKBtcHhw+RsjjVW8WH+aVJb6rA3NuP28ETWBcacH6M5qFKiUKuwMDT++ziCczUCgF75IF8WpvFVURp9CjkLPAO5OzKZMNs/9IHaJAN8kZvOhsJsBhQKZnj6cEf0BBKc/0jrqNRq9ldW8EVmGpnNTVgaGbE2LILrImNws/xjUVcLwfGqGjZkZnOkogodHR1m+PlwdXTkCO+vUKk4WlbFr1n5HCurRi0EMR4uLIsMZUFY4Ihi1qBCybGSKnbmFHO0uAq5UoWzlTlzwgOYGx5AtKfriAVcCEFxQxuH8so5WlBJccNQk4ybreXQQxHsTby/B6Zads5d/VLSS+pILaklvaSemtYhjSMzY0OifF2J9ncl2s+VMG/nMfP5HT0DFFe3UFzdSlF1CyU1rbR0/kEjtLU0xc/dHl83O/zc7PBxs8PbxRYrLQ/9aJANKmjp6KOlvZfWjj5aO/pp6xyqE7R39dPRPUBXj+Z6AQwtuBbmRpibGmNhZoSZ6ZCom6mJISbGQ7UCYyMDjI2GdupGhvoYGv6hOaSnp4e+3lmtIV3d0fsIVENRw7koQqEaiiwGFUrk8rP9A7Kh3gGJTIFUpmBAOsiA5Gx9QDJUH+gbkDGoRUNJX08XGytT7G3Msbc5Wxuws8DR1hwHOwuc7S1wtLO45Eazc2yjc9FbRUMHlQ3tlNe10yf5w0G4O1oR5OVEsLcjId5OBHs7YWk2eo9In3SQ/KpmsiuGNh15VU0MKs7OFHCzJz7Qg8RgD+IC3LU6ml6pjDOldZwoquJEUTVtvQPo6ECklwszwv2YEeGHj6PtiOMUKhVplfXsyy/jQEE5XQNSzIwMmRXqx8KoYJL8PUdEGG39A+zIK2ZrTiElLe0Y6OkxJ8SfK2LCmOjjOULk7kBZBT9l53Kqpm6IHRQUwHWx0cS4DU8zlXV08E1OJluKC5EplUz19Obm2Hgmefyx8VQLwZHaSj7OTiWtuQFbYxNujIjjurCYYVmMMy11vJ97khNNNdgbm3FH+ATWBcWc74X629UIjp8+xTfFGXySf4YeuYx5noHcHzWJEJs/GECtA/18kpPGD4U5KNQqFvsFcUf0BELs/lABHFQq+a24kM8y0qjp6cbT0oobYmK5IiR8GEVsQC5nS34R32ZkUdXZhZ2pKVdGRbA2OgLXizjJ9V09/JKZx5bsAtr6JTiYm7EiOpQV0WH42A3XDlKrBZk1DWzPKmJfXhl9skHszE2ZHxHIgqggojxcRiz+arUgu7qRAzllHMqroLGrd6hO4O3CtDBfpof74qOBSgdDNMnsikZOFVZzuqiW4rqhHKqZsSEx/m4kBA09eIHuDqNKN8jkCoqrW8mvaCK/oonCqmaaO4YWfR0d8HSyIcjbkUBPRwI9HQjwcMDOSntj0cUQQtDe1U99czf1zd00tHTT0DKUymhq66G7d+T4SmtLExxszbG3NsfOxgzbs/UCGytTrC1Nz++iLc2NMfpfqjc0KFfQ0zdUF+juldB9Ntrp6Bmgs1ty3gm2dfbT2z9SY8jexgxnB0tcHa1xc7LC7Wz05e5ig42lybijCiEErZ39lNW1UVrbRmltK8U1rTS2/SFB4uFkTaiPM+F+LkT4uRDo6TAqHVahVFFQ00x6aT0ZpfVkVzQwqFChp6tDuLczE0O8mBjqRbi3s1Yhu6L6Vo4WVHKkoJKi+qF728fRlpmRfsyJDCDE3XHEZ1Sq1KRW1rE7t4QD+eX0nn0GF0QGsSw2hBDXkccUNbeyOauA3/OK6ZHKcLe2ZHVsBKtiwrC/SM69sqOTH7Nz2ZxXSN/gIGFOjqyPj2FRSNCwNHCXVMqP+bl8l5NFm2SAUHsHbotPZKF/4LDPm97cwIdZpzlcW4WFoRE3RsRyY0TcMKn7tJZ63s45QUpzDc6m5twbOYnV/hEY/p1YQ77hocL+n3fRKu1nupsvD0dPIdzO+fzv26UDfJyVyobCHJRqFcsDQrk7duIwISiJQsGPeTl8kZVO68AAEY5O3BaXyDw//2FfenNfP99lZPFzdh69g4NEuThzXVw084MChhVyVWo1x8ur+TEth+Pl1ejo6DAtwIfVseFMDfAZIanb0NXDtoxCtmUWUt/Vi6mhAbPD/FkcHcIEP4+RjTJnF/+9WaUcyC2jrXcAQ309JgZ6MivSn2lhvthq6f5t6erjRH4VJwuqSS2uRTKoQF9Xl0g/FyYGe5EY7Emol9OoC39Xr4TssgZyShvJKWugpKb1vNCci70l4b4uhPo4EeLrTJCn47iLjQqlitrGLqobOqiu76CmsZOaxk7qm7qRDv4xMlFPTxdne0tcHS1xcbTCxcEKZ3tLHO0scLK3wN7G7JJ3u393DMoVtHX209LeR0tHH81tvTS19dDU1ktjaw+t7cO1ncxMDPF0tcXL1RYvN1u83WzxdrfDzcl63HpOPf1SSmpaKaxqobCqmfyKJtq7h6inRgZ6hPg4Ex3oRlSAK1EBbpibak8pyRVKcquaOFNUy5niWgpqmhFiqDY1McSLyRE+TArzwUZLRNnc1ceRggoO5JaTUVGPSi1ws7VkbnQg86IDNToFuVLJ8ZJqfs8u4khRFQqVCn8nO5bHhrIkJmSErMqgUsn+onI2ZeZzproOfV1d5oT4c3VCFPGew4kkA3I52wqK+DYjm4qOThzMTLk2NpqrY6KGpZgGlUq2lRTxeWY6FV2deFlZc3tcAitCwoY5jvy2Ft7LPMW+6nIsDI24OTKOGyPizlNPAVKaa3gj6xiZbY2s8A3jnSlL/j6OwMjHXSz+6BUei51GopPH+Z/3DMr4NDuNr/MzGFSpWBEQyj2xE/G+wAH0y+V8l5PFV1kZdMqkJLl7ckd84rAwDKCsvYMvzqSzvbAYlRDMDfTnxoRYYt1ch11Lr0zG5qwCfkzLoa6rBwdzM1bHhrM6NgIXq+GRglyp5GBhBZvT8jldMVRUnuDrwfK4MGaF+Y/Q3BdCUNLYxs6MYvZkldDS3Y+RgR6TQ3yYGxXI1FAfjUU2IQQl9W0czi7nWG4lJfVD6SIXW0smhXmTHOZNQpDHqM1fXb0SMorrySiuI7O4jqrGoSYeQ309QnydifJ3JcLfhXA/l3Ht9M/t8Mtq2iivbqOspo3KunZqm7pQnXUoOjrg4mCFp6sNXq62uDvb4OFijbuzDY52Y6thXgoGBxVDdYI+2VCNYGDovwOSQSRSBdJzGkQyBYODSgblCuTyIUkIhUKF8lxTmWpIQuL8zOILOsrONZTp6emebygzMNBDX18PQ8OzgnNnm8iMjQyG0lImQ/81MzXCwmyoNmBuboyFuTGWFsZ/qbNTKFU0tfbQ0NJDbVMXdU2d1DV1UdPYSWvHHxLThgZ6eLnZ4ufhgL+XPf5eDgR4O2JjqXnjcSHORQ55FU3kljeSW9ZASW0bKpUaXR0dAjwdiA12Jy7Yg9gg91EdQ3e/lDPFtaQUVpNSUE1Hr2QoDeTjwtRIX6ZH+ePjPDINBEMp0CMFFezLLuNMaS1KtRovB2sWxAazMDYYb0ebEcf0SGXszS1la0YhOXVDReBpwT5ckRDBpECvEVFJZXsnGzOGMgG9skECHe25JjGapZEhw2qA4mx6+au0TE5U12BioM+ayHBuTIgbVltUC8G+inI+Tj9DXmsLLuYW3B6fyJrQ8GGb0IL2Vt7NSGFfdTnWRsbcEZ3I9eEx5wvGQggONVTgaGJOpL3L38cRBEZGiJKc3PMLt0yp5Nv8TD7KTqVnUMYSv2AeiE8eNjRColDwbU4mn2em0y2TMc3Lh3sSJxLrMnxhz21q5uNTqewvq8BYX581UeHcEB+Lh7XVMLuazm6+O53FluwCJAoFcZ6urEuIZk6I/whqWl1nN7+cyWNLRgFdA1JcrS1ZER/G8thQXG1G6gC1dPezI72QHRnFVDR3oK+rS3KwFwtig5ge5qdxAVep1WRXNHIoq5zDOeU0d/ahowNRvq5MjfBlcrgPfq4judTnIBtUkFVSz+mCGtIKaymvGxoHYWpsQFSAG7FB7kQHuRHi7TSuxaits4/C8maKKlsoqWyhpKplWDrH2cESPw97fM++fDzs8HK1wehPFIeVShXtnf20tffR3jlAe2c/HV39dHVL6OweoLtHQle3hJ5eqdZc+zno6epgbGyAibEhRkbnagRDncDnFnN9PT309IZURc8t+pz7egXnnYNSdVZrSKlCqVIhl/9RIxgcHOofkJ2tEai11DTOwcTYACtLU6ytTLCxMsXG2mwoDWZjhr2tOfa25jjYW2BrY/anHOeAVE5NQydV9e1U1XdQUdtORW077V1/OAgHW3OCfBwJ8nEixN+ZED/ncTkH6aCC/IomsksbyCypJ7+8kUGFCl0dHUJ8nEgI9WRCmBeRAa5aexDUakFRbQvH86s4llt5PsXp7WTDjGh/ZsX4E+LppPF+7x6QciCnjN1ZpaRX1CEEhHs6szgumIVxwRppqRWtHWzJKGB7ZhEd/RKcrSy4IiGcKxLCcbAc3vgmVSjYmVfChtRsilvasDYxZm1cJFcnRuF0kRBeSVs7X6ZmsL2wGIAloUHcNiEBf/s/6OtCCI7X1vB+6ikymhpxMTfnzoSJrA4NHxYh5LU180baCY7WVeNkas4D8clcERQ+LBvxt6sRnGso21ZWxOtpx2ns72O6hw+PJE4hzP6POsGgUslP+bl8mHaGDqmEaV4+3D8hiShnl2HnzKhv4P2TZzhRXYOVsRHXxkZzXVzMCKG3nPomvkhJ50BROfq6uiwMD+K6iTGEuTgNs1OrBSdKq/nxVDYnyqrR1dFherAvqxMjSQ7w1Dgd7FBeBVtTCzhdMsROiPZ2YXF8CHOjAzXenGq1IKuigf0ZpRzKKqO9VzKULgrxYnq0H9MifLHRwJ6As/OLm7o4mVPJqfxqsksakCtVGOrrERXoRnyIB/EhHoT4OI+5oAzKFRRVtJBX2khBWROF5U20dw2lA/T0dPFxsyPI15EAb0cCvR3x93IYdeenDUqliubWXhpbumlq7qGxuZvmtl5aWntpae+ls2tgxNB3fX1dbKzNsLU2xfpcrcBqqFZgYWGMpbkJlhbGQywds3NMHUMMDfX/x7WJhBBDBWOpnIGBoULxwMAgvf0y+s4ynXp6pfScY0F1S+jsGaC7e2RRXE9XBztbc5wcLHFysMTZ0RJXZ2tcnKxwdbbG0d4CvctwFN29Espr2iitbqO0upXSqhZqGjvPf+8uDpaE+rsQHuBCRJArAd6OozaUAQzKleRXNJFeVEtaYR0FlUNMIFNjA+KCPUiK8CY50gdXByut52ju7ONobgWHs8vJKBtKA7naWTI7NoC5cYFanUJLdz97skrYkV5ESWMb+nq6TAvzZUViGMnB3iPufblSxeGiCjal5nGqvBZ9XV1mh/lzdVIUsd7DU0FCCNJrG/j2dCYHiyvQ19VlcWQwNybFEeBoP+y8jb29fJWWycacPGQKJfODArh70kSCHOyHne9kXS3vnkkho6kRd0tL7p+QzLKgkGHryZnGOl5NPU5mSyMBNnY8PmEqMzx9/54NZR//vpXnUg6T195ChL0Tj0+cRrKb53kblVrNtpIi3j6dQkNfL0nuHjyUNHlEBJDZ0Mi7J05xsroWW1MTbkqIY11M1DDVQSEEJypq+OxEGmk19VgaG3FlfCTXJEaPkLodGJSzNaOADSnZ1HZ042BhxurECK5IiMBJQ8t8ZUsHv6bksSOjiO4BGS42FixNCGVJfCieDtYj7IUQFNW2sietmH0ZpbR292NsoM/kCB9mxQQwOVxzugiGUgFZJfUcz67kRHYlDWcLez6udkyM8GJiuDcxgW5jcvN7+6XkFDeQXVRPbnEjJVUt5+sF7s7WhPq7EOrvTKifMwHeDpe0yxdC0NUtoaa+g5q6Dmobuqhr7KS+oYvm1p5hC56Bvh5OjpY4O1ji6GCJo70FjvYWONhZYG9rhp2dOZbm45vE9b8ZKpWanl7pUATU2U9bRz+t7X20tvfS0tZLc2svre1951NwMPTduThb4e5qg6ebLZ5utni52+LlYYelxaWxuAakckqrWigsbz77aqLlLHHA0ECfUH9nooLdiAp2JyLIdcz6Ub90kIyiOk7n13Aqr/p8AdrXzY7JUb5MifEl3M9Fa4Ngd7+Uo7mVHMgs5UzRUBrIw8GaefFBLEgM1po+Kmlo4/f0Qn5PL6KrX4qjlTnLE8NYOTEcV9uRkXtNexe/pObxW3o+vdJBgl0cuGZSDIuigkbIr9R2dvPt6Sx+y85HqlAyM8iXWycnEu0+fEPaIZHwTXoW32VkMyCXsyAogHsmTSTwIodwrKaaN0+dIL+tlUBbOx5JnsJMH99hrLW9VWW8lnqcyp4uJrl58lTSDELtHf8+jsAxMECYPnQbzmbmPJo4heUBocOoW8drq3nlxDGK2tsId3Dk0UlTmezpNewcBS2tvH0shSOVVdiZmnLLhHiujo4clqcXQnCopJKPjp2moKkVJwtz1ifFsiYuYhijCIbkdDekZPFraj59skGiPFxYlxzNnPCAEXx/hVLFgdxyfknJIaOiAX09XWZF+LNiQjgTAj003uAtXX3sPFPEzjNFVDV3oq+ny6Qwb+bFBzE1whdTLYu/RCYnJbeao5nlnMypol86iJGBHgmhXkyK8mFSlA/OdiNv8gsxIBkkq6iejPxaMgvqKK9tQ4ihxSTU35mIIFcig9wID3DBehypgXOQyuRUVrdTUd1GRXUbVbXtVNW003NBU5mxkQEerja4u9rg7maDu4sNrs7WuDpbYWdj/h9d5FXnhtOcTf1oHF6ve7ZGoK/3H71WpUpNe0cfjc09NDR1Ud/UTUNTF3UNXTQ0dSFX/KG1ZGtjhq+nPT5e9vh5O+Dn7YC3p/0lMa3aOvvJL2skt7iB3JJGSqtaUKkFero6BPs6ExPmTny4J1HBbqNuFIQQ1LZ0czKnkpM5VWSW1KNSqbGxMGFKjB/TY/1JDPPUmq7sHZBxKLucPWnFpJcOiTyGejmxKDGE+YnBGgvNCqWKo4WV/HY6n5PF1QBMDvZhzaRIJod4j3g+pXIFv2cX8UNKNuUtHdiZm3LVxCiumhg1IpLvkkjZkJrNhtRseqQyJvp4cMfUCUzw9hhm1y2V8U16Jl+nZyGRy1kSGsy9k5PwvkBjTAjB7vJS3jh1kuruLhJd3Xl8yjSinP4gzihUKjYU5vBuRgpzvP15Y8aCv48jMPb2EC9t+pnboxPON1UAVHR28NKJYxyursTd0pKHkyazODB4mJOo6erm7eMp7CgqwcrYiFsmxHNdbMwIB3CwpIIPj56mqLkNDxsrbpucyNKokBFdvxWtHXx1LJ0d2cWo1YK54QFcPzmWSM/hnh6graefX1Jy2Xwqj/Y+Ce52VlyRFMGyxDCNDTCDCiVHcirYllLAmeIahIBoP1cWTQhhdmwgVlp42hKZnOPZlRxMK+VUbhWDChXWFiZMifZlWqw/iaGeo+76VWo1ReXNnMmpJi2vhoKyoVDd0ECfiCBXYkPdiQ7xINTfedyLg0Qip6SimZLyFkorWiitbKGu4Y+UgqmJIT5e9vh42uPtYYePpz2e7rY42o/dqXwpOLd77umW0N0jobdXSl+fjP5+Gf39Q0XjgbNFY9nZorFscCiXPzg4xPtXnFUhHSuffzF0dXUwOFtjMDzbm2BkbIDx2ZepiSGmZ1NU5ubGmJsbYW5mjIWFMVZWJlhZDaW3LCyMLyutM9p30tLWS01dB9V1HVTVtlNdO/Tfc7UUPT1dvNxtCfRzIsjfmSB/JwJ8HDEaZ2e3RCYnv7SRrMJ6MgvqKKxoRqVSY2igR2SQGwmRXkyI8ibAy2HUv3e/ZJCU3CqOZVVwMreKAakcMxNDpkT7MishkInh3lrvybaefvamlbArtZjiulb09XSZEuHLsuQwkkNHpoEAmrp6+e10/vln1s3WkrWTo1g5IXzELA0hBKcravnmeCYnSqsxMdBnVUI410+Jw/WimSADcjm/ZOTxVUo6bf0S4r3cuHtaEhN9hjuELqmUz8+k811GNkq1mjWR4dwzaSIOF1BUFSoVPxfk8d6ZFDqkUpYHhfBI8pRhqqfdMilqIbAzNfv7OIKo2BiRk5l1/t+9g4O8d+YU3+VmYayvz90JE7k+KmZYZb1LKuXDk2f4ISsHPV1dbkiI5ZbEOCyN//hjnksBvXPoJAVNrXjZWnPH1AksjggeQf8sbGjh08OpHCgox9hAn5Xx4Vw/ORZ325F5zMK6FjYczWRPdikqtZrJwT5cOSWKSUHeGneJlU0d/HYij51niugZkOFsa8GSiaEsmRiKu4Z0EQxR7VJyq9l7upgTOZUMypXYW5sxIy6AmfEBRAe5jaq1090r4XRONaeyqjiTU01vv2xIstrXmYRILxLCPQkPdB3Xwq9WC6rr2ikobqSgpInCkkZq6jvOL/oO9hYE+TkR4OuIv48jft4OuDiN3aU8GoQQ9PcP0tLSQ2tb71DBuK2P9vY+OjoH6Ozsp7NrgJ4eyYg6wjno6ekO1QnMjDAzNcTEZOhlbGxwnt1jYKCHgaE++vpnB9Sc3enr6uqgc65gfPZ6hFqcbyhTqtQoFWeH1p91JjLZWQmLQQVSqQKJdBCJRI5kYKjbWZuj0dXVwdraFFsbM2xtzbGzM8fezhwHB0vs7S1wcrTEyckS08uow1wIlUpNY3M3FdVtlFW2UlrZQml5C109Q3IUero6+Ho7EBroQmiQK+Ehbri7WI/r7yiRyckpaiAtr4a0vBoqaofICfY2ZkyI8iY51pfECC/MRvkMCqWKtMJaDqaVcjSzgt4BGWYmhsyIC2DuxCDiQ0Y2hZ1DWUM7v58qYOeZoTSQg5UZy5LDWT4pHFcNEbJCpeJwXgU/Hs8ms7IBY0N9liWEsW5qjEbGUVlzO18dS2dXTgkAi2OCuWVaIt4Ow21lCiWbMvP47EQabf0DTPTx4L4ZycR4DE9ht/UP8EHKGTbm5GGop8dNiXHckhg/bAPbNzjIJxmpfJmVga6ODnfGT+CW2Phh6+DfrkaQnp6OEIKtxUW8fPIoHRIJa8IieChpMvYXaHbIVSp+yMzh/ZOn6ZfLWR0Zxn2Tk3A0H56vz6pr5M0DJ0ivbcDN2pI7p05kWVTICAeQV9fMxwdPc7SkCgtjI65OiubaSTEjNP2FEJwsruHrQ+mklddhamTA8sQwrp4SozH3r1CpOJxdzqajuWSU1aOvp8uMKD9WTI4gMchT66CY3PJGdp0s5EBqKX2SQWwsTJiVEMicCUFEBbiNmo6ob+7iWFo5x9MryCsZGthtY2VKUrQPE6K8SYz0wmoc+WKFQkVxeTM5BfXkFtaTX9RA/1lZAksLY0KDXAkJcCYk0IUgPydsrMffWHYh1GpBW3sv9fVdNDR00dDYRVNTN01N3TQ39zAgGa7Gqaurg53d0EJpZ2uOrY0ZNrZmQ0VjazOsrEywtBwqFpubG2NsbPBfM7xGCIFUKqevX0Zf79ki8dkCcXePhM7OATq7+unsGKCjo5+u7oERjsPSwhhnZ2tcXIZebq42uLlZ4+5mi53d2JpB2q6rvbOf4rJmisuaKSxtpKi0GclZUTtrK1MiQtyICnMnKswdfx/HcUUv7V39nMmp5nR2Fam5NfQNDKKvp0tsmAdT4v2ZEu+Ho51m9VEYIhKkFdWx/0wJhzPKGJDKsbMyY+7EIBYlhxLo5ajxOIVKxfG8KracyCOlsBqAyeE+rJkaRVKo5o1aSUMbPxzLYmdGMUq1iulhftwwM55oH9cRtk3dfXxzPJ1NqXkoVGoWRAZx+8wJ+F7U7SxTKNmYkctnJ9LoGJAwI9CXB2ZNIvCionJ1VzdvHj3B7pIyHM3NeHjqJJaHD0+N1/f28NLxo+ypKMPT0opnps1kpo8v8B90BDo6OtVAH6AClBdfhM7Q3fgusBCQAOuFEJmjnTM+Pl78vG8vTx06QGpjPdFOLvxrxiwiHIczd45WVvPiwSNUdnYxxceLx2dMHVZ0Aaju6OLNgyfYX1SOvZkpd0ydwOq4iBEpoKLGVj44cIojRZVYmRizfkocVyVFjZCGVqnV7Msu48uDqZQ2tuNoZc66qTGsSgrHUsMcgM5eCZtP5LLpWC7tPQO42VmyakokS5PCsNWSb2/t6mPniUJ2nCigrqUbY0N9psf5syA5lIRQ7bsggMq6dg6fLuVIatn5XViAlwOT4/2YFOtHsK/TmLlslUpNaWULGTm1ZObWkF/UiOxs85eXhx2RIW6En32Nd4d48fmbmrqpqm6juqadmpoOamraqW/oZPACDSBDQ/2zi5wVLs7WZ3fCVjg6DhWPra1N/9IUyn8zVCo1HR39tLb10traS0tLLy2tPX84ypYelMo/isUmJoZ4etji5WWPl6c93t72+Hjb43QZkZlKpaamvoP8okbyihrIK6qnsXmowGtmakhUmAexkZ7ERXnh62U/5vmVKjV5JY2czKzgeHoFdU1Dsidh/i5MnxDAjImBuDpqZxANypWk5FaxK6WQkzlVKFVqAjwcWDo1jHlJIVp1jBo7etl6Mp8tJ/Po6JXg7mDF2mnRLEsO0yhx0dE3wM8ncvj5RA49EhkxPq7cPCeRycHeIz5je98A35zI4OdTOQwqVSyODuaOWRPxtLMeZieRK/judCZfpKQjkStYGR3GPTOSRtBOM+sbefHQUXKamol0ceKZ2TOIdh2ejj5ZV8OzRw5R0dXJXF9/npk2AzdLq/+oI4gXQrRr+f1C4B6GHMEE4F0hxITRzukREixM77oNUwNDHps0hTVhEcM8YkNPL88fPMKBsgq8bax5atZ0pvv5DDtHj1TGR0dP80NaDob6etyUHM/6pNgRReCa9i7e35/C7txSLI2NWD81jmuSYzAzGm6nVKnZmVHEFwdSqWnrxsfRlhtnxbMwNlgjfa6isZ0NBzPZnVqMXKkiKdSLK6dHMynMR+NCrFKrScmpYsuRPFJyq1ALQWyQO4unhDEzPkBrsRigrqmL/SeLOZBSTHVD51ATTpAb0xMDmJrgj8soD9U5tLT1kpZVzZnMKjJyas7v+H287ImN8CQmwoPIUHesrcZfLIahxq7KyjZKy5spL2+hvKKV6uq2YQu+k5MlXp72eHra4eFui7u7Le5uNtjZWfztGUF/FVQqNW1tvdQ3dFFX10ldfQd1dZ1U17TTcUHzmKmpIb4+jvj5ORLg74S/vxM+3g4YGFzapLS2jj5y8uvJyqslM6+WhqZuAGytTYmP9iYxxpuEGO9xRYfVDR0cSy3nSGoZxZUtAAT7OjE7OZjZyUGjRgrd/VL2ny5hx8kCiqpaMNDXY0acP8unRxAX7KHRKSmUKg5llfPzkSxyKpswMzZkWXIYV8+MwdVu5LMiGVSw5Uw+3x7OoLm7j2A3R26bO4EZ4X4j7s/OfglfHUvnp9M5KFQqVsWHc8esiThe1IvQJZHyyfFUfkzNRl9Pl5snJXBjctwwJWO1EGwvLOa1I8dp7R/giogwHpk+eZiKqVyl4susdN5PPc0Mb18+WrT0v9YRfAocEUL8dPbfJcB0IUSTtnMaeXqIOz//lKemTB/2oRUqFV+lZfL+ydPo6MBdyRO4IT52hBTEpsw83jmUQq9skFUxYdw7I3lY8QWgo1/CRwdP82tqHgb6elw7KYYbpsSN2NWfcwCf7T9DXXsPwW6O3Do3kZnh/hoF4jLLG/h2Xzon8qswNtBn8cRQrpoZo5XS1tEzwLaj+Ww5kktLZx92VmYsmRLG0qnhuDtaa/uK6OyRsP9kMXuPF1Jc2TLUXBbszqykQKYlBmBvo3n60/nvSaWmsKSRlLRKUtIrqKoZ+vM52FuQEO1NfJQXsZGe2NqMP82jUqmpqW2nsKiR4uImiksaqa5uP5/SsLAwxt/PCV9fB3x9HPHxccDL0w6TccpVXA4GBxX0dEvo7ZbS2ydl4GzheKB/EMnAUM5eJr2gw3hQgWJwSJL6XM5ffVaOWhNrSE9XF139syMqzxaJDQz1hsTsjIdepmfrEaZmRpiZG2FmboylpTEWliZYWplgaWWK4b9RG6l/QEZ1dTvV1e1UVLZSWdlKRWUrEslQusfAQA9fHweCg1wJCXEhJMQNdzft0uWa0NLWS0ZODenZNaRlV9PTK0VHB4L8nUlO8CM5wY8A35GSDxejsbWHw6dLOXiq5Px9HR3izrzJIcxMChq1P6Wsro1tR/PYnVJEn2QQL2cbVs2MYvHkMK3HFdY088OhLPanlyIQzI4NZP3ceII8RqaaFEoVOzOK+eJAKrXt3QS5OnDH/InMCPcb8bnaevv59HAqm9Ly0NfV5bpJsdw0LR7zizIMdV3dvL7/OPuKynGxtODRuVOYHxo47Hz9g3I+TDnN1+lZmBka8Oj0KayODB+2Oa7r6UFfVxdXS8v/mCOoAroYar7/VAjx2UW/3wG8IoQ4cfbfB4HHhBDpF9ndCtwK4OzpGddUUzPsfbIbm3hyzwFK2tqZE+DH07On42o5vOiTXd/EczsPUdjcSoKXO0/On06ws8Mwm0GFku9OZvL5kTRkCgWrEyO5Y+aEERojarXgQG4ZH+xOobq1ixB3R+6YN5FpYb4j/uhCCE4WVPPl7jPkVDZhY27ClTOiuWJqlFadlMKqZjbuy2J/aglKlZrEME9WzYhiSrSvVuEuhVJFSmYlOw7nczq7CpVaEOjtyNzJIWPunGAopE7Prub4qTJS0ivp7pGgp6dLZKg7E+N9mBDrg4/n2KH9OchkCgqLGsjLryc/v56i4sbzi4ulhTFBQS4EBroQFOiMv78TTo6Wf1mOXiZT0NbSS2tLD22tvbS39dHR3kdHWz9dnf10dw3Q3SVBJlOMeh5jEwOMjYekH4yMDYbYPkb66BvooW8wpEaqqzfUWax7UWex+mxnseqsHIVCPsQ2GhxUohhUIpPJzzOTBseQvTYxNcTa2hQbW3Ns7Myws7fAzt4cB0fLoZfT0H//KoehVgsaG7soK2+htKyZktImSkubh/39QkPdCA93JzLcg8BA53G/t1otKKloJjWjitMZlRSWNiHE0CZjUqIf05ICiQpzH3Ne87lId9+JImqbujA00Gdqgh+LpoeTEOGlNVqUyRUcTCtj86Ec8iuaMDEyYOGkUNbOjsHbVfOGrKWrjx8PZfHbiTwGZHKSQ725eWEi0X5uI2yVKjW7M4v5bP8Zatq6CfNw4t5Fk5gY6Dni/q7r7Oa9fSnsyinB1syEe+YksyohfASxI62mnpf2HKGouY0J3h48s3AGfg52w2zK2jt4Zt9B0uoaSHB344X5s/GzG/55/pM1AjchRIOOjo4jsB+4Rwhx7ILfj8sRXIgLZailCgVvHUvhm/RMHM3NeXbuTOYE+A2z75HKePPACX7JzMPRwox/zJ3GgrDhXlUIwYGCcl7fdYyGrl5mhPjy0IIp+DiMvDFOl9byzu/HKaxvxc/ZjrsXJDMzYqTXF0JwLK+Sz3aepqi2FWdbC66fE8+y5HCN83jVasHx7Ao27Mkgp7QBM2NDFk0OZfWsaLxcNN+gMPRAbDuYy+5jhXT1SLC3MWPelFAWTA3F18Ne63EwtCM+nVHFkZMlpKRXIJUqMDczYmKcL5Mm+JMY442F+ehywucglyvJL6gnK7uWrOwaSkqaUKnUQzOPfRwJC3MjLNSNkGBX3C5xR3kxhBD09kipr+ugvraTxvpOGhu6aG7sprmph+6ugRHHWFqZYGdvgY3t2aKxjRnW1qZYWptiaWWCheVQt7GZmRHmFsYYmxj+j9UYVEo1krOdxP19Mvr7ZPT1SuntOVsk7pLQ3TVAV+cAXZ39dLT30983Ul3Uzt4CJxcrXFytcXWzwdXdFndPW9w97DC3GN/fUes1qtTU1nZQWNRIUVED+QUN1NYNzaswNNQnNNSVmCgvYqK9CA52GXMhP4eu7gFOZ1Rx4kwZqZnVDMqVWFoYM3lCADMnBxEb6TnquYQQFFU0s/tYIftOFNM3IMPJ3oLF08NZMjNi1A1QUXULmw5ks+/0UIo2OdKbdfPjiQ/RnDbqk8j45WguPx7KpKtfSnygB7ctnkhcgPsIW6VKzY70Ij7Ze5rGrl4SAzx4YPFkwjydR9jm1zfz2s5jZFQ3EOhsz+NLppPoO5xKqlKr+SUjj3cOnWRAruCGpDjunDZhxOCrzXmFvHz4KBKFknsmTeTWCfHnSS//FawhHR2dZ4F+IcQbF/zsklND5xxBRn0Dj+3aR3VXN1dHR/LI9MlYXKDNLYRgT2EpL+w+QrdEyrUTYrh7etKwrmGAqrZOXtp+mJTyWgKd7Xls0TQm+nte/LZUNHfw5vZjnCiqxsXGgrsWJLMoLniE9xZCkFJYw8e/p1BY04K7vRU3zk9k0cSQETpEMET93JVSxIbd6dQ2d+Fib8naOTEsnRquVYddqVJzIr2C3/Zlk55fi56eLpNjfVk8M4IJUZo50Rcem5Fdw4FjhRw/XY5EKsfK0oSpEwOYlhxITITnuHLCQgiqqttITasiI6OKvPx65HIluro6BAe5EBXlSUS4B+HhbpiPoU0/Gro6B6iqaKG6so2qyjZqq9upq+mg7wLtIl09HZycrHBxs8HJ2QonF2ucnK1wdBraLdvZWWBo9PdSJ5XJFLS39dF2NuppaeqhpbmH5qZumhq6aGvtHUaVtbYxw9PbDk9ve7x9HfH2dcDHzxFLy0ufB3EO3d0S8vLryM2rIyenlorKVoQYKkZHRXmQEOdLYoIvbm4jKZYaP9OggtTMKo6mlJKSVsGARI6VhQnTJgUyZ1ooESGjM+EG5UqOp5fz++F80nJr0NXRYVKcLyvnRo8aJXT2SvjtcA6/Hsyhs1dCsLcT1y6MZ2Z8gEbatXRQweYTeXy3L432XgmJQR7csTSZKN+RzCG5UsmmlDw+23eGrgEpC2ODuW/xJFwu0hkTQrC/oJw3zm5GF0QG8sjCaSMUCToHJLx+4DhbsgvxsLHiX4tnkew7vGG2rX+Afx04zJ6SMsKdHXlt4TwCHez/M45AR0fHDNAVQvSd/f/9wHNCiD0X2CwC7uaPYvF7QojE0c4bFx8v1r7xNp+fScfNypKXF8wlyWu492zp6+dfOw9yqKSScFcnnl8ymxDn4Xk9mULJZ4dT+fJYGiYGBtwzJ5m1EyJHLKI9AzI+2nOKX1JyMDU05Ja5iVw1OVrjHN6cykbe23KCrPIGXO0suXnhBBZN0OwAZHIFW4/ksWF3Oq1d/QR5OXLdwgRmxAdoXci7eyVsO5jHlv3ZtHb042RvwbJZkSyeET5m3r+8qpXdB/M5eKyIzm4J5mZGTEsOZObkYGIiR2cbnb9mmYLMrGpOn6ngTGoFbW1DUgLe3vbExXoTF+tNZITHZXHYhRA0N3VTWtxEWXEzFWXNVJS10NX5x+7eytoULx97PLzs8fSyw83DDndPW5ycrca9A/3/BXK5kqbGbhrqOqmv7aCupp3amg5qqtoY6P+DauvgZImfvxN+gU4EBrkQGOKCvcPo3eba0NMrJSenhozMGtIzqmg6WyR2c7VhQqIvSUkBREZ4jGujMShXkppZxaHjxZxMrUA2qMDZ0Yq500OZPzMMd9fRnUtDSzfbD+bx++E8unuleLrYsGpeNItmhGslVwzKlexOKeT73enUtXTj6WzD+kWJzE8O0fh8yORKfj2eyzd70+jskzAt0pe7l03Cz3VkJN4vG+Srg+l8fzQDgPUz4rlxVsKIgU8yhZIvj6bx5dE09HR1uWdOMlcnRY94/zPVdTzz+wFqOrtZFR3GY/OmDuuLAthVXMo/9x1iQC7nselTWJ8Q+x9xBL7AlrP/1Ad+FEK8qKOjczuAEOKTs/TRD4D5DNFHbxgtLQRg7eMr7G+/hzWR4Twxc9oIXaAdecW8sPswMqWSe2ckc/3E2BH9AGcq6nh2ywFqO7pZEh3MwwunaqwD/HY6j3d3nqRPOsjq5EjunJ+kMa9f29rFe1tOcCi7HDtLU25ZOJEVk8I1MoZkcgVbDufx3a40OnoGiAly44YlE5gQ5qU1XVLb2MnGXZnsOlrAoFxJfLgnqxfEkBzrO2qjWF+/jP1HC9l1IJ/Sihb09XVJivdj3oxQJsb7jktJtKdXSkpKGSdTSsnIrGZwUImpqSFxsd4kJviRmOCDw2UsHAP9MooKGs6/Sgob6e0Z2uXr6+vi5eOAX4ATvv5O+Pg74uPrgI3t6M7ufwpCCNQqNQqFakhi4qzMxIU4VzvQ1x+qJ/y3UFmFELS39VFd2UZleQuV5S1UlLVQV9Nx/jPY2VsQHOpKcKgrIeFuBIW6YWx86cqwDQ1dpKZVkppWSVZ2DXK5EjNTIxITfZk8KZAJib7j2jRIpHJOnC5j75FCMnJqUKsFkaHuLJoTwYzJQaN2yssVSg6fLmPTnkwKy5sxNzVi2awIVi+I1Zo2UqnVHE4v55sdZyitbcPNwYobl05gQXKoRocgkcn56XA23+5PRyKTszQpjDuWJOFgPfJ+berq5e3fT7AnqwRnawseXjaVOVEBGusHL247zPHSakJdHXlu1RxCXEduZj88epovU9JxMDfjxWVzmew3PDroGJDw5N4DRLo4c1fyhP98auivgpmnl9h68NCIWkCXRMqzOw+yt7CMaHcXXl4+b8REsH7ZIG/sPs6m1Dw8bK14dsVsjWmgovpWnt90kPzaZuL83Hh85QwCXR1G2PVJZHy26wwbD2djaKDH9XPjuWZWHCYabkyFUsW2Y/l8vf00bd0DxId4cPPyJGKDRuYXz6GwvIkN29I4mlaGgb4e8yaHsGZhHH6eo+f+C0ub2LY7m0PHixmUKwnwcWThnAhmTw3BahypgJ5eKcdPlHDsWAmZWdWo1QJHB0uSk/2ZlBw47l3dhejqHCA3u4a87FrycuqoKm9BiKE5BF4+DgSHuhIY4kpQiCvevg7/VqaMWq2mt1tKV0c/3Z39dHcO0Nstoa9HSl/PEHtooH/oJT3b7TsoUzAoUyAfVCIfVI5gCY0FXV0dDM7KShgZGwwVok0MMTM3wtTMGFNzIywsTTA/yxSysjbFytYUa1tzbO3NMb+ECWKXA5lMQWVZCyVFjZQUNVJc2EhD3dAcCj09XQKCnAmP8iQi2pPIaM9LrjmciyZTUso4dbqcrm4JBgZ6JCb4Mm1qMMlJ/uNyCm0dfew9XMiuA3nUN3ZhbmbE3OmhLF8QjfcYz0V+aSMbd2Vw+HQZuro6zJ0cwjVLE/B2t9NoL4TgRHYln287TXF1Cx5O1ty6Ipk5iUEa00zd/VK+2pPKxqM56Ovpsn5uPNfOjtdYE8ysbODlzYcpaWwjOdiLJ1bOHNFsKoRgb14pL/0+lN6+cWo8d86aOELULq+hmce37aW8rZOr4iN5dO7UEbUDAejp6v59HEF0bKzIzhzec3a6qpZHt+yha0DKPTOSuCk5fsRO+XR5LU/+uo/W3n6unxLL3bOTRwyNlwwq+GjPKTYczcTG3ISHl01lYWzwiAdQrRZsTcnng20n6RmQsjw5nDuWJGOvYUiLWi04mFbKx5tPUN/aQ1SAK3esmkRssMcI23PIKqznm99OkZZXi4WZESvnRrN6fgy2o/Cu5Qolh44X89vOLIrLmjExNmD2tBCWzosiyH9kgepiyGQKTqaUcfBQAWnpVahUatxcbZg6NYipk4MIDHS+pIVIMjBIbnYtGamVZGdUU105NCDH2MSA0HB3wiM9CI1wJzjMDTOzPyeHcDGkkkGa6rpobuiitamb1uYeWpt6aG/toaO1j872PlQXNFhdCFNzI8wtTDCzGKJympgaYmJqhLHp0GwCQyMDDM8yhwzO7vT19HRHSEycixKUyqFBNgq5EoVcyaBMiXxQgVQiRyaRDxWJ+4Yoq/29UqRnmTkXw8BQH1t7c+zOsYScrXB0scbJ1RonVxtc3G0wuoxd+2jo7ZFQlN9Afl4dBTl1FBc1opCr0NXVwS/QmZg4b+ISfQiP9LykGoxKpaagsIFjx4o5eryEjo5+jIz0SZroz6yZYSQm+I650RBCkFNQz/a9ORw9WYpCqSImwpOVi2KYNMF/1FRnU2sPP+3M4PdDecgVSqYlBnD9igkE+ThptBdCcDy7kk82n6S8vp1ATwfuWj2FpAhvjfZ1bd28t+U4B7PKcbG15MFVU5kZ469xTObGkzl8sCsFpVrFbXMncv2MuBGp5B6pjNd2HmVrRiH+Tna8tHoeYW7Dr3VQqeTtgyf55nQmPnY2vLlqIaEuwyOI/4pi8V+FC1lDSrWaD46c4tPjqXhr+fAyhZK39xxnQ0o2Pg42vHjFPKI0iMKlltXxz5/30dDZy6qJ4TywZMoIYSmAotoWXv7pEPnVzcT4u/HomukaecUAOWUNvPPTUQoqm/F3t+fOKyYzKcpH64KaU1zP57+kkFlQh42VKVcvjmf5nKhRpXu7eyRs3Z3Nlp1ZdPVI8PKwY+WiGOZODx1VqwWGbvC8/Hr27M3l6LESpFI5jg6WzJgRwozpIQT4a9Zx13au6so2Uk+Vk3a6gvycOlQqNUZG+oRFehAT501UnDcBQc5/ST5fpVLT0thNbWUrdVXt1FW301DTTmNtJ10XNEkBGBkbYH928bR3sMTO0QIbewts7cyxtjPD2tYcS2tTLCyN0fsP1xqUChV9vVJ6ugbo6Rqgs72frvZ+ujr6aW/tpaO1l7aWXtpbelFcNGDH3skSN0873LzscPeyx9PXAU9fBxyc/5yW0znIB5UUFTaQm1lDVnoVRQUNKJVqDA31iYr1ImGiHxOS/XF1185yuxhqtaCgsJ5Dh4o4cqyInh4pVlYmzJwRyry5EeO6B7t7JOw8kMfWXdm0tPXi7GjFFUtiWTQnYtRnoLtXwsZdmfy6J4sBqZypCf7cvDoZf6+R0f+5a913upiPfztJU3svE8K9uG/tVPw9NNtnlNbz6i+HKW9oJynUi8fWzsBTgzZRa08/L/92mIO55QS7OfCvK+cS4j5yTTleUsUzv+2ns1/KHbMmcvO0hBEO71RlLY9t3UOXRMYjc6ZwbWL0+e/vb+kIWvv6eXDzLtJrGlgZHcZTC2aMGPdY2tzOIz/vorylg2uSo3lg/hSNUcDbvx9n48kcPO2tefbKOcT7jUzXSGRyPt5xip8OZWFjYcL9K6eyMHFktADQ0tHHexuPsT+1BAdrM+5YNZkFk0K05vNLKlv45OcTnMmpxtbKlGuXJbJsduSouc/G5m5+3prGrgP5yOVKJsb7snpJHPHR2msN59DZNcC+fXns2p1DfUMXJiaGTJ8WzJzZYURGaNY20gSlUkVedi0px0s5dbyUlrPSAr7+jiRM9Ccu0YewSI8/neaRDAxSWdpMRXETFSXNVJU2U1vZxuAFfQDWtma4e9vj6mmHq4ctru62OLvb4ORqjaW16X+NjtBfBbVaTXfnAC2N3TTXd9FY30lTbScNtR3U17TT1/MHq8rUzAgvP0d8g5zxDXLGL8gZnwDnPx1BSKVycrNqST9TQfqZCuprh1JJHl52JE8JInlqIMGhozN9LoRSqSI9o5r9B/I5cbIUhUKFv58jCxdEMXt22JjsM6VKzckz5Wzank5uYQPmZkYsmx/N6qVxozY/9g3I+GVXJht3ZdIvGWRWUhC3rp2Eh4vmgrRcoeTXQzl8tf00/RI5K2dEcuvKZI3yFUqVmk1Hc/j49xTkShU3L5zA9XPiNdYPD+aW8+KvB+kekHHznERumZOoMTp4fushdueWEOPlymtrF4yYdNglkfL4tr0cKa1iTog/Ly2di4Wx0d/PEXyyeSv3b9rJgFzOs4tmsSwqdJiNEIJNaXm8/PsRLIyNeGn1PCYHeo84V25NE09s2ENdRzfrpsRwz6JJI6r4AKeLanh+wwGau3pZNTmSe5ZPwkJDtKBQqvhhTwZfbT+NEIJrFyZw7cIEjTUDGOqU/PTnE+w/WYyluTHXLU9k5dzoUR1AbX0n3286xYGjRejo6jB3ehhXrkjA20NznvPC7yS/oJ6t2zI5fqIEpVJNRIQ7C+dHMXVK0Lg7eJVKFVnp1Rw7VMjJY6X09UoxNNQnNsGHpMkBJCb7XzbrBIZ2xFVlLRTl1lGa30BJQT311R3nc/JWNmb4BDrh4++El78jnr4OePg4YPEnaJB/R/R0DVBb2UZtZRvV5S1Ul7dQWdLCQP9Q/4Guni7efo4EhrkRFO5GSJQHHj4Of6qo3VjfyZmUck6dKCU3qxaVSo2tvTlTpgczdUYIYZEe4z5/X5+MQ4cL2bkrm/KKVoyNDZg1M5TlS2Px89OcwrkQRWVN/LQ5laOnSjEw0GfxnAiuWpmI0yj3Zm+/jJ92pLNxVwYKhYqlsyK56YokrSnZnn4pn205xW+HczAzMeLOKyazfFqERsfX1tPPG5uOsj+jFH9XO/557VzCvEembHsGZLy65TA7MooJdXfk5WsW4OM0MsLakVXEc9sOoaejw/NXzGV2mP+w3wsh+OpUBm8dOIG7jRXvr11CkJPD38cR+IaECdOrbx36cGsWjxj7JpErePa3A+zMKSY5wIuXV88bwQhSqdV8eTCNj/ecwtHKnBevnk+8/8goYEAm563NR9lyIh9vJxueuXaOxm5CgKySel759gBVjZ1Mj/Pn/iunaR2vNyAZ5JstZ/hlVya6ujqsXRTHNUsTRm2Rr2vo5OufUzh4rAgjQwOWzo9k7fIEHMboGJbLlRw+UsTm39Ior2jFzMyIeXMjWLIoGi+v0Ytr56BWC/Jzajm0L59jh4vp65ViamZE0qQAJk0PJn6C72VLQcikcgpz6ijIrCE/q4bivPrzO31rWzOCItwJDHXFP8QV/2AXbB3+2hkF/z9BCEFLYzflxU2UFzVSWtBAaUEj/Wd7MkzNjQiN8iA8xovwOG8Cw9wuO5rr75NxJqWM40eKSTtVgVyuxM7egmmzQpg1L4KAoPHVnIQQlJY28/uOLA4eLmRwUElEhDurViQwKTlgTMdS19jFj5vPsOdQAbo6OiyaG8G1qyeO+tx0dA/w9eZTbDuQi5GRAdctT2TtwjitMuzldW28vuEQWSUNhPs68/gNcwjQki46mlvBSz8epKNXwvp5Cdy2aKLG6GB/ThnPbzqATK7k0RXTWTUxfMT3VdvRzcM/7aKgoYXrJsXy4ILJIyKIjNoG7t+0g1AXJz5bt+Lv4wiMXT3E+jff5/UVC0aof9a0d3Hfht+paO3krtlJ3Do9cYR3bu8d4B8bdpNaVsf8mCCeWj1TozJoVnkDT3+zh+bOPq6dE8fti5M09g70SwZ5/5djbDmSh4u9JY9eO5NJUb4ar12tFuw5XshHPxyjs0fCwmlh3HblJBxstd+ULW29fP1TCnsO5WNooM+KRTFcuTx+TMGu/n4Z23/P4ret6XR2DuDtbc/K5fHMmhk67kW7qaGLvbtyOLA7j5bmHoyNDUiaEsj02WHEJ/peVpOWSqmiJL+BzNMVZJ2poCSvAaVyqADpG+RMWLQXYdGeBEW44+jy1+S2LxVKhYr+Xin9vUMMIkm/DOnAIDKJfIg5dJY9pDw7pEalUiMumFJ2bjqZ7tnpZAaGehgYGWBkrI+RsSEmZoYYmxphZmF89jXEFvpPUEyFEDTUdlCcW09hTi0FWbXUVAwNgzcyNiA0yoOYiX7ETPTDL8gZ3VHoytoglcg5fbKMIwcKSD1VjlKpxsPLjrkLo5izIAI7+9E3M+fQ1ydjz95ctmzLoLm5BxcXa65YmcCC+ZFj0lubW3v4ftNpdh3IR09Xh+ULY7h29cRRWXQ1jZ18+MMxTqRX4Opkxf3Xz2BynJ9GWyEEu1OKePfno/RKBrl2QTw3LZ2o0Xn0SWS8+esxtp8qINDdgRfWz8ffbeSmrK2nnyd/3Mvp0lrmRQfyz7WzR+gRyZVKXt91nB9PZRPn7cabVy/C4aKNb0tfPwa6utiZ/40G03gGhYjq4sJhokoAx0uqeeTnXejp6vDGVQtJ8vcacWx6eT2PfLeTAZmcJ1bNZFliqMZK/ue7TvPl7lRc7Sx5bv08rVHAqbxqXvxqH+3dA1w1L5ZbVyRrTQNV1Lbx2ucHyCttJCzAhQdvmEmIn3Y2T1+/jA2bTrN5RyZCwPKF0axbNWFMobfOrgE2/ZrK7zuykEjkJMT7sPqKROJiR8rjaoJcruTEkWJ2bc8iJ7MGHR2ITfBlzoIIkqcEYWJ66Tv/ro5+0o6XknqijKzTFQz0y9DR0cE/xIXoRF8i470JjfbEbJxyFpcL+aCC1sZu2pq6aW/qob25h47WXjrbeulu76e7o5+ezgEk/SPlG0bDuZ6BC6Gpt2AsmFuZYGVjhpWd+VAx29ECeycr7JwscXCxPv/Sv0Tq7qWit1tCfmYNOWlV5KRVUl0+5BisbMyIS/YnYXIA8ZMCLisd19sr5fihIvbtzqUwrx5dPR0SJ/qzcFkMiUn+43KGKpWakyml/PJrGoWFDVhZmbBqRQLLl8eOWUdobO7m242n2Hu4ABNjA9atmsDqpXGjTltLy63h7W8OUd3QyaRYXx68YaZW1d7ufinv/XyMHScK8Hax5Z+3zCPMdyQ5BYaig+c3HKBfOsj9q6aydlqURobi14fS+GB3Cm62Vrx1w2KNVPad2cU889t+rEyMee/aJYS7j1xb/nY1gnOsIRjyxBtSsnht5zH8nez44LqluNkM/yMJIdhwNIu3fj+Gh701b65fTIDLSA/c0tXH41/uIruikSUTQ3l07QyNw+Clgwre+ekIW47k4eNqxzM3z9X6xx6UK/jq19P8uCMdC1Mj7lw3lYXTwrQW0JQqNb/vzeGrH0/S2ydl7vQwblo3Cecx5KI7uwb46edT/L4jG6VSxbSpwVx95cRx5VMBWpt7+H1LBrt/z6anW4KzqzULlkQzZ0EkDo6XnvOvr2nn5MFCTh0upjivHgB7R0viJvkTnxxAdKIPFpcoWz0eKORKGmvaqatoo76qjYaqNprqOmiu66SjpXeEvaWNKTb2Ftg4WAyxh2zMsLQxxdzKFAsrE8wsjDExM8LU3HiIQnq2D8DAUB8DQ3309HW1OlghxFDUoFCd7T9QIJPIkUqGogtJv4z+Xhn9PVL6eyX0dkno6RxySF1t/XS29TJwkaaQrq4O9s5WOHvY4uplj5u3Pe6+Drj7OuLiYftvYT11tPWRdaaCjJRyMk+V09MlQVdPl4hYL5KmBzNpVigOzmPLmV+M+toO9u7MYd+uXDo7+nFwsmTRslgWLo3BxnZ8yrZ5+XX8+NNpzqRWYGZmxBWrEli1Mn5Mh1BV286n3x0jJbUCJwdLbr9+KjOnaCZ/wFBt7JfdmXy56RQCwc2rk1mzME4rTfVUXjUvfr2Pju4Brl+UyM3LJmpky3X2Snj2+32cyK9iepQfz147F0sN155Z2cAj3+6kTzrIs1fOYWFs8Aib4qY27vluOx39A7y0eh7zI4OG/f5v6whUajWv7DjKj6eymRXqx8tr5o+YFTCoUPLcLwf4Pb2IWRH+PH/13BHhFQwVhJ/4ajdyhZInrp7FwsQQje9fVN3C05/soq6li3Xz4rht5SStucPc4gZe/GQvdU1dLJoext3XTBt16lduYT1vf3KAiuo2YiI8uOvGGQSOsZD39cn4aeNptm7LQC5XMmdWGFdfnYzHOCh8QggK8urZ/PMZUo4NjdVLmhzI4hWxxCb4XrLef0NNB0f25nF8fwHVZUPa8QGhrkycHszEqUH4jjMvPF50tvZSXtBARVEjVcVNVJc201Ddjlr1R4+AnZMlLp52uHjY4exhi6ObDY6u1tg7W2PvbInhOOfu/qcgk8hpb+mhrambtsZuWhq6aK7rpLmug4bqdnoukODQN9DDw88RrwAn/EJc8Q1xxT/MDctLkAsfCyqVmpL8es4cLeH00ZLzaaTgCHemzAlj6rxwHJwuzSkolSpOHS9lx9ZMMtOqMDDUY8bsMFZdOQFf//FtZErLmvn+h5OcPFmGhYUxa9dMYOXy+DFTRll5tXzwxWHKqlqJCnPn/ttm4+etOb8P0NLey5tfH+JEegXBvk48ecd8rQ2e/ZJB3vrxCDtOFBDq48Tzty/Ew2kkE0kIwQ+Hsnhvy3Ecrc157ZbFhHqN/NztvQM8/O1OMisbuHFmPPcsmjSCidjRL+G+Db+TVdPI/fMmcfO0hL83fVSmUPLYxt0cKChn/ZQ4Hpo/ReMgiPu/3E52dRN3zJvIbXMnapwT8O2+dD7YdhIfZ1tev3Ux3hrmAwgh2Lg/i/c2HsPWypR/3bKAuBDNTWGDciWfbTzBzzszcLa35PHb5hIfMTJVdQ49vVI+/voIuw7m4+RgyZ03TGf6pMBRF025XMlvWzP48acUBgYGmTkjlOuvnYz7OByAWi04dbyUjRtSKCpowMLCmIXLYlm6Mg7HS9zZdXcOcGR3Lgd35lBW2AhAWIwnU+aEM2lmyGXtFDVBOjBISW4dRVk1lObWUZpXR2dr3/nfO3vY4hPkgmeAE55+jnj6O+Lm7YDJX9ys9t+G/l4pDVVt1Ja3UlveQk1ZC1UlTbSfpfICOLrZEBjhTlCUJ8HRngRGuP9lDvBc5Hd8fwHlRU3o6OgQHuvFzEVRTJ0ThtkldiDXVrez9dc09u/KRSZTEJfoy9prkoiOG19qs6y8ma+/Oc7pMxXY2Zqz/vopzJ8XMWrKSaVSs3N/Hp9/f5z+ARlXLI3jxqsnYaJFk0gIwaHTpbz51UEGJHJuXpPM1UtGNrGew8G0Ul7+Zj8qleAf62czb+LI3TxAbmUT//hiJ519Ep68ehZLksJG2CiUKl757TCbTuUxI9yPl69ZgOlFf8tBhZKnNu9jV04JV06M4okl09HT1f37OYLDJ05yz3fbSa+u57FF07h2UuwIu5q2Lu78bAutPf28ePV85kYHjrCRyZU89/0+9qSXMDcukH9eO1djjr9fOsgLX+7jUHoZU2P8eOqmuVpH3lXUtvHs+7uoqG1n+exI7r52mlaRKyEEB44V8d7nh+gfGGTt8niuX5uk9QY8d8zxEyV8+tlhmpp7SEzw5Zabp+Pnq7mp7UKoVGqOHizkp29PUl3VhrOrNauunMC8RVGXxPpRqdSknyxj75ZMzhwvQaVU4xfswsxFkUyde+k7Qk3o65GQl1pJXmol+WlVVBY3nd/pu/s6EBjhgX+YGwHh7vgEu1zygvN3R1+3hPLCBsrzGygvqKckt46W+qGxj/oGegSEuxOe4EPkBD/C4rz/Eod5LiI8tDOHhpoOjIwNmDQrlHnLY4mMH99Cfg69vVJ2bs1kyy+pdHUOEBruztXrJ5OYNFLyXRPy8uv49PMjFBY24OvrwJ23zyI2xnvUY3p6pXz63TF27MvF2dGKh++cQ2Ksj1b7rl4Jr39xgCNnyogKduOZuxfiooWe2tzRy9Of7CKnrJErZkZx/1XTNGp9dfVJ+MeXu0grqWPdrFjuXzlFo8LxT8ezeW3rUULcHXn/5mXYW47USntr73G+PpbBvIgAXlmzACMD/b+PI4iJjRUBNz5MSVMbL62ex6Lokd41v7aZuz7bCsD7tywj0mtk/r6jd4AHPt5OQU0zdy+bxPq5CRpvsOrGTh55bxv1rd3cvXoKV8+P02gnhGDrgVze/fYw5qZGPHnHfJJitN9EHV39vPnRfk6cKSck0IVH7543akgKUFPTzvsf7iczqwZfHwfuuH0WcbHeox4DZ2cdHC7iuy+PUVvdjrePA1del8z0WWHo6Y+fBdLR1seeLRns3pxOe0svNnbmzFwUxZyl0XiPM4TXBqVCRWFmNZknSslKKacsrx4hBIZG+gRHexIW50NonDfB0Z6Y/1/PwGWhu6OfoqwaCjOqKciopjSvDpVSjZ6+LiHRXkQn+xM/NQj/cPc/xWASQlCSX8+B7dkc3p3HQL8MNy87Fl2RwJxlMZdUZJYPKtmzI5uNG1JobeklOMyN62+eSlziyCFQmq7j6LESPvviMM3NPUydEsSdt8/CcYyaV05BPa9/sJfahk4WzYng7ptmaO1QFkKw53gRb351ED1dHR6/bR7TJwRotFUqVXy0+SQbdqcT7uvMq/csxUGDarBSpebtzUf56XA2k8N9ePmmhRprlUcLKnnku53YW5jxyW0rR2gVAXxzPIPXdx1jZqgfH1y37O/jCGw8fYX39ffz9tWLmR4ykqaZWlbHvV9uw8bMhE9uX4mXw8icXHVzJ/d8sIWOXgkv3LiAmdH+I2wAUnKrePLjnRjq6/HyXYu16gNJZHJe+XQfB1JKmBDlzdN3LcB2lELosVOlvP7BPqSDCm5aN4k1S+NHffAGBxVs+CGFjZvOYGxswE03TGPxouhxPawZqZV8+fEhykqa8fKx59qbpjJlesgl5f9LCxrYsuEUx/bno1KqiZ3ox8LVCUycGvSnGCx93RLSjhZz5lAh6cdKkfTL0NXTJTjak5hkf6KTAgiM9PjbzRL4b4FMKqcos4aslDKyU8ooL2hECIGVrRkJ04KZMDOUuCmBfypakEnlHN9fwK5f0ynKrcPI2IBZi6NYsS4JD5/RNz4XQqlUsW9nDj98c4LWll6iY724+c5ZBIWOnAFwMeRyJRs3neHHn06ho6PDDddPYeWKMZ45uZKvfzrJz1vScLS34In7FxIdrl0frKGlm2fe3UlRRTNrFsRy1zVTNfYHABxKK+VfX+zFzMSQN+5dRqivZvbgr8dyeHXjYQLcHHj3rmU4WI10Gnk1zdz1+Rb0dHX59PaVGhlFm1LzsDQxYn5k0N/HEZi6eop9R45p7BQ+UVTNA19vx93Omk9vX4mjhi+usKaZu9/fgo6ODu/etZxwDd19AL8cyOKtH47g72HPG/ctw9lO8y6irqmLf7yxjZqGTm5dO4lrlo3sXTgH2aCC9784xO97cwn0c+KpBxeN2RGck1vLG2/upqGxi3lzwrnt1plYW4/NtqmpauPTDw6QdqoCJ2crrr9lGjPnho97pyeEIP1kGb98fYK8jGpMzYyYuyyGJWsn4OY1+jWPhu6OflL253NiTx65ZypQKdXYOFiQOD2YhGnBRCcH/EfTPDKpnO6zdNLeziE6aX+PBEmfFEmfDOmAHJl0cKiXQKZAqVChUqpRqVTnB8Ho6ICenh56Z4XpDM7OKDY2MzrPQDKzNMbC2gwLG1Msbc2HWEv2Fv/R4nV3Rz9ZJ8tIPVJE+rES+nukGBrpEzcliMnzI5gwM/RP/W0qipvY9vMZDu/KRSFXMmFaEGvWTyYsRnv97GLI5Up2bcvih6+P090tYebcMG66fea4alvNzd2898F+Tp+pIDDAmUceXjhmSrWguJEX3t5JY3M3165OYv1VyVqZQgqlig83HOOX3ZlEBbvxwgNLsNPS71NR386D72yls2eAf926gJkJI1PXACfyq3jsi53Ympvw0X2r8NCw669q6eSWjzcjUyj47PZVhHpojs7/VjWC0MgoUZibM+LnJ4qque/L7fg52/Lp7as0zg3IKKvnvg+3Ym1uwkf3rtQoAKVWCz745Rgb9mQwNcaP525boDXHn5pbzVNv70BPT4fn71s8akG4tr6Tp1/dRlVNO1etTOTmdZNHVVgcHFTw+ZdH+W1LOi7OVjz0wAJix5EGGuiX8d2Xx9j6axomJoasWz+ZZVckXMJMWTUph4v56bMjVJQ0Y+9kyYprkpi/Iu6yef4yqZxT+ws4tD2TzBNlqFVqXL3smDw/kqTZYQRGul9Wo9LlYOBscbWpuo3m2g5a6jppbeikvamb9qZuBi6YfHYxjE0NMTE3xshkiEY6pEKqj56BHnq6OkMeAEAIVGqBUq48Sx0dchoyiRxpv2yYRtLFsLQxw87ZCnsXaxzdbXH2tMPZ0x5Xb3tc/geL3yqlioKMalL25XNibz4dLT0YGOozYWYIM5fFEj81CIPL7Dru7uzn942p/L4xld5uCRFxXqy7bQZRCdoFGS/GwMAgv2xI4defzqCjA1deN4k1VyeNGT2eSxe9/8E+evtkXH/tZK66cuKoGySJVM67nx1k98F8IkPdefaRJdjbaZ+NcSClmJc+2YuFmTGvPbKcIF/NC3NXr4SH39tGXnkTD1w1navmjax1AuRXN3PvB1vQ19Pl4/tWaRx8U9/Rw80f/UqfdJDP79DsDP5WjuDiPgKAM2W13PXZVnyd7Pj8jlVYaeDhphbXcv9H23C2s+TT+1ZpHBqhVKl54at97DpZyBUzo3jomhlamQBb9+fw5lcH8Xa347VHlmttMIGhVNCL7+zC0ECfpx9cNGoBCqC8vIUXXtpObV0HK5bHcfON08Ys5gohOHqwkI/f3U9XZz8Ll8Vyw63TsRpH9HDu+NTjpXz7wUEqS5tx87Rj7Y1TmLEoEoNxDLDRdL6SnDr2bkrl6M5spANyHFysmb4kmmmLovENcfn36utLBqkubqKysIGakiZqihupLWumq61vmJ2lrTlO7jbYu9pg72KNnZMVNo6WWNuZY2VnjoWNGeaWppj9hcqkSoWKgT4pfV0S+roGhnoH2vvoau2lo6WH9qZu2hq6aG3sor9bMuxYexdrPAOd8Q5ywTvYFZ9QNzwDnf+tkYRaraY4u5YjO7I5tjOHns4BLG1MmbkslvlrEvEKGFvmXBNkUjl7fstg0zcn6GjrIzzWi/X3zCb8EiKElqZuPvvwIMcOFeHqbsN9jywgNkFzZ/+F6OmV8t77+zh8pIjQEFeeeHwpri7Wox6z73ABb3y0HxNjA577xzKiwrTPEimrbuXR17bS0y/l2XsWMTVBc/pZJlfwz093czijnPWLE7lj1SSNz0VlUwe3v7sZpUrNJ/etItB9ZAqosbOXGz/cNDQN7a41BF7kMP7WjiCvppmbP/oVNztLvrprNdZmGiKB0nru+WAL7g5WfHLfFdhajlwcFUoVT328k8MZ5dy2Ipkbl07QWhT+dONJvttyhqQYH567b7FWmWi1WvDNzyf55udThAS68NxjS0cVvRJCsGVbBp9+dhhLSxP+8ejicRWD29t6eefVXZxJKScg2IX7HllAUMjYudNzKMqt4/O39lKYXYuLhy3X3D6D6fNHp9xpg0wi59D2THb+cIrK4iaMTAyYuiCK2SvjCE/w+bfs/FUqNTXFjRRlVFOSVU1Jdg315S3nO3tNzIzwDHTGM9AFdz9H3HwdcfV2wNnT7r+eXjrQK6Wptp2mqnbqK1upL2+hprSJuvIW5GcjCz19XbyCXAmK9iI4zpuQOG/c/cYvIX4pUCpUZJ4o5cCWDE4dKECpUBEa582SdUlMmhdxWVGCfFDBni2Z/PzlMTrb+kicEshN98/Fy29sJtw5ZKZV8t4be2io62TOwkjuuHfOuIrShw4X8va7exFC8NADC5gxXXP/0DlU17bz5MtbaWzu4f5bZ7FsQbRW287uAR59fStFFc08dOMsVs7VbKtSq3ntu4NsOZLH6lnRPLRuhsb0cm1rF7e+/StypYrP7r9CoyxFfUcP69//BZVazXf3rsXD3vr87/62jqCmrYtr3/0ZMyNDvrt3rcZiSn51M7e98yvONhZ8/sBqrU7gHx/8zvHsSh5aN521czSHaCq1mte/OMD2g3ksnRXBwzfN1povHJQreemdXRw+UcLCWeE8eOecUUdDSiSDvP7mbo4eK2biRD8ee3gRVmN03gohOLAnjw/f3otSoeKG22awfHXCuBfwtuYevnhnH0f35GFjb841t89g3rLYyyoAtzf3sO27k+zZeIb+Xim+wS4sujqJaYuj//Kcv0qlpjyvjpwTJeSeKqcwvQrpWVkIKztzgqK98I/0wC/cHd9QNxzdbf/HUk//U1Cp1DRVtVFZ2EBFQT1luXWUZtecT21Z2pgRluhLRFIA0ZOD8A7+6yOw7o5+Dm7NYNdPp2ms6cDGwYIl1ySz6KqJl9XEJpPK2f7zGTZ+eRypZJCFq+K57q5ZWI4zqpUPKtnw9XE2/pCCtY0ZD/5jMROSNe/EL0RzSw8vvLSdwsIGli+L5Y7bZo2atu0fGOS5N3dwOr2SK5bEcdeN07U+c7JBBc+8u4MTGZXcdEUSN16RpHWD+f7GoZT0iumR/OP6WRrtalu7ufmtXxBC8OVDa/F0tB5hU9nSwfr3f8HCxIjv77sSW/Oh7+9/3BHo6Oh4AN8BToAAPhNCvHuRzXRgG1B19ke/CSGeG+vc5xxBV7+Ua9/9mT7pIN/dt1YjO6iquZMb39iIhYkRXz60Rms66ImPdnAko5xHr5vFFTOjNL6vUqXm+Q93s/9kMdevmMCtazWHcAC9fVIef2ELeUUN3LF+Gleu0ExNPYeGhi6e+udm6uo6uPmm6axdnTjmQ9vXK+Wd13Zx7FAR4VEePPLkknEPBFEolPz2fQo/fnYUIQRXXD+J1esnY3IZQ+frq9r45dPDHNqWiVALJs2LYOl1kwgbZwPQeNHZ2kvaoQLSDhaSc3KokAngGehM+AR/whJ9CYnzwdnT7v9bdVK1Wk19RStFGVUUpFaSd7qc5pp2AGwcLIiZEkzCrFDipodiMc7Fdbzvm3mijG3fniD9WAlGJgbMXzOBK26ehv1lNBT2dA3ww6dH2LEpDTNzI264Zw7zV8aO25mXlTTx2vPbqa5sY8nKOG67Z/aoWkIwxEr6/IsjbNqcRniYO8/+c8Woul4qlZqPvj7Cpu0ZTJkYwDMPL9aqMKBUqXnl033sOlrA1UviuWvdVK3O4KNfT/DtzjRWz4rm4WtmaE0T3fzmL5gZG/L1I1dqnIyYU93EzR9tIsjVkS/uvAJjQ/3/iCNwAVyEEJk6OjoWQAawXAhReIHNdOBhIcTiSzl3fHy8OHXmDLd9/Bu5NU18cecVRPuMTIO09wxw/Ws/M6hQ8vUjazVW29VqwXNf7mXXycJRIwGlSs2/3t/FwVMl3H7VZK5bPkHr9bV39PPQPzdR39jFkw8uZOZkzV2E55CdU8M//zXEYnrmqWVjNr0AFBc28MJTv9He1sf6W6axel3SuKOA4rw63n52GzUVrSTPCOHWh+fj7KZ5AMdoaKhu44f3D3B0Rzb6BnrMW5PIyhum4uwx/ulUY6Gxuo0TO7NJ2Z1LSVY1AHbO1sRNDyZmajBRyQHY/InZB/8/oK2hi+yTpWQeKybzaDG9nf1DOkET/EiaH8nkRTHY/UXd3wDVpc38+sVRDm/PQldXh/lrErnyjpnYXUaTYVVZCx+9soO8jBpCoz25/5llePqOj3IqH1Ty1SeH2bzxDD5+jjzz4ircPcdmux0+UsRrb+zEytKUF1+4YkxW0abtGbz/xSGiwz14+akVWvsN1GrB298cYvPebK5cFMc9107T6gze23iMH/ZkcMOSCdyxapLG8xVUN3PL25vwdrLliwdXayS0HMgt48Gvd7AgNohXrlmA7n96ZrGOjs424AMhxP4Lfjady3QEqx5/nZ9OZPPyNfNZFDcypzeoUHLLW5sob2zniwdXE+qluZj1/i/H+H5XOreuSOLmZUkabdRqwYsf72H3sULuWjeVdUsTtF5bS1sv9z+5kc7uAV56cgVxUaMXvQ4cLOC1N3bi5mrDiy+sHrNYJYRgx9ZMPnp7L/YOFjzx3EpCwjQro14M+aCC7z46xG/fp2DrYMHdTyxm4rTRnZQmdLb2suG9/ez9NQ0DQz0WX53EqpunYTNOKeHxnP/IlnSObE2nLLcOgIBID5LmRTJhTjg+oW7/3+74/yxUKjWl2TWc2ZfHqX151JY2o6OjQ1iiLzNWxDNlSexfFik013Xyy6eH2bc5DT09XZZeN5m1t8+45GZAIQT7t2fz+Vt7kEkVXHfHDFZeN2ncG5/UU+W8+tw2lAoVjzy9lMnjuOdLy5p58ulfkUrlPPvMCuLjRid3HDhaxIvv7CLA15E3/7UaCy3sOiEEb399iF/3ZnP9igncduVkrXYvfb2fbcfyeeSamayeHa3R7nheJQ98vJ1pkb68fusSjXWFz/en8v6ukzy4dAo3zEzQ6AiGptv/m1+AN1ALWF708+lAB5AD7AbCRjnHrUA6kO7k5iki7n9LvLbliNAEtVotnvlmj4i5/S1xILNUo40QQvx2OEckXP+meOXbA0KtVms91zvfHBJJa94QX/2aovVcQgjR0tYr1t7yqZi/9h2RV1Q/qq0QQmzanCpmzH5ZPPDQD6KvTzqmvUKhFG+/skPMTnpePP7gj6KnRzLmMedQVdYsbrviAzEv6mnxznPbRP843u9iyKRy8cP7+8XyyCfF4pB/iI/+tVV0tvVe8nk0QSFXihO7ssUz134sFnrcK+a73i3umf+q2PTxAdFc1/GXvMf/YSRqy5rEhrd2iVumvSDmu94tlvjcL1667UuRcbRIqFSqv+Q9GmvaxWsP/SQWBDwq1iT8U2z//qRQKpSXfJ6Otl7xrwd+FPOinhYP3fCFaG7oGvexLc3d4u6bvhSzk54X335+ROvzfiFaW3vETbd8IebMf1UcPlI4pv2xU6Vi5oo3xS0PfCd6R3m+1Gq1ePnTvSJpzRvipx3pWu0USpV48O0tYsL6t8TxrAqtdj8czBAxt78lPtp+Uuv7PfDVdnHD+78IIF1oWl81/fCvfAHmDKWFVmr4nSVgfvb/FwJl4zmnmbOHuPadn4Rcqflm2nQ0W8Tc/pb4+HftC3dGUa2YeOPb4r43NwuFUvsN/+PvaSJpzRvi7a8PjXrzdHb1i6tv/1zMX/uOKChp1Gp3Dt9vOClmzH5ZPPPsZjE4qBjTvr9PKh6553sxO+l58cVHB4VylGu+EGq1Wuz6NU0sSfyXuHLmqyL1eMm4jrsYZw4VivUzXhbz/R8Rz9/1nWiobr+s81yMztYeseGtXWJd7JNivuvdYl3sk+Lrl7aJ2rKmv+T8/4fxQa1Wi7LcWvHRU5vE6tBHxXzXu8WNyf8Sv316UPR1D/wl71Fe0CAeu+YTMd//EXHn4rdEQUbVZV3n/u1ZYkXyC2LV5BdFyqGxF+hzGJQpxKvPbxOzk54XL/3zt3E9d319UnHv/d+LWXNfEXv25o5pfzK1XMxY8Ya445ENQiId1GqnVKnE429uE0lr3hAHUoq12klkcnHtM9+L6be9LyrqNT9zarVa/PPbvSLm9rfEsVzNDmNAJhdypVKrI/i3poZ0dHQMgB3AXiHEW+OwrwbihRDto9mZu3iJssI8XGxG5oZL69u47tWfiA/04L27lmsMlVq7+rj2mQ1Ymhnz9TNXax0PeTy9nH+8sY3piYE8f/9ird3CEomce5/8mZq6Dt58bjWRodq5xQAbfkjhq2+OMXtWGI89smjMELejvY8nHvyJ2up2HvjHIuYu1FzMvhjyQQXvv7iD/duziJ3oxyMvrsJmlCYYTeju6Ofj57ZybFcuHn6O3PXscqImjs3CGAt15c1s/uQQBzenoZQriZ8RwqLrppAwM/Tfoqd/uRBC0NvZT2dzN12tvfR29NPfPcBArxRpvwzZwCDyQcX5xjFxlq6qo6uD/tl5BYZGBhiZGmJqYYyZlSkWNkP9CdaOltg6WWNubfpfleqSDyo4uSuHHd8epzCtEhMzI+ZfncyKW2bgcBm1pAshhODk3nw+fXE77c09LF6XxA0PL8D0EhsVG2s7ePkfmygrbGTNjVO4/q5Z40oVCSHY+H0KX35ymOhYL559dQ1mY9CHZTIFT/9zM5lZ1Tz68CLmzY0Y1f7IyRKeff13EmK8efnJFRpnEMAQq/C+FzZRXNnKR8+uIdRf8zyTls4+rn/2B8xNjfjmn1djbjLyemVyJTe8/jPNXX38/OQ1ONloTtP+J4rFOsC3QKcQ4n4tNs5AixBC6OjoJAK/Al5ijIsKjYgShXkjO4tlciXrXv6BPukgG5+8BhuLkblOpUrNHa9uorSmlW/+eTU+rpqLR9UNHdz85I94utjw0bNrtQ6TV6nUPPHiFlIzq3jxyRUkJ2geY3cOm39L48OPDzJndhiPPjy2E2hp6ubRe3+gs7OfZ19eTVzi2I0yAJ3tfTz3wE8U59Wz7tbprLt9+iXTJ0/uy+e9pzYj6Zdx9V2zueKWaZfdSXoONSVN/Pj2bo7vyMbASJ85ayaw/OYZuF8CX/yvhkqlprmqldrSJurLmmmsbKG5uo3m6nbaGztRDCo1Hqerq4OxmRGGxoYYGOmjp693fkEXQqBUKFEMKoc6igcG0XZbG5ka4uBmi5OnPS4+jrj6OuIe4IxnsBtO/2EGVHl+HVs+PczR7Rno6Ogwe80Errx3Hk7jZKdpg3RgkG/f3sv2707i4GrNQ6+uIXLC6M/OxZDLlXz86i52b04ncUogj718xbg73w/syeONF3/HP9CZl96+Cssx6haDgwqeemYzWdk1PP3kMqZNHb3OsG1PNm9+tJ8l8yJ5+M65Wv+GXb0Sbn7iBxRKNd+8cg22WuQoMkvquevVTcyMD+SFOxZqPF9NSxdXv/wDYV7OfHLfKo0b1/+EI5gMHAfygHNTQp4APAGEEJ/o6OjcDdwBKAEp8KAQImWsc2vqLAZ469ejbDiYyUf3rmRiiOYi7WdbUvhi22meu3UB85M1N45IZQpufvIHunolfP3yNTjZa2elfPjVYTZuTeehO+aM2lgCcPBQIS++vJ0pkwN55qnlYzqB1uYeHrrrO/r6ZLz01lWEho8eaZxDbWUbT931HT1dEh59aRWTZoaO67hzkEnlfPridvZsTMU/zI2HX1972Z2j59BS38n3r+/k0OY0jE0NWXrDVJbfOgPrUQaI/zugVqupLWmiJL2CssxqynNqqCqsZ1AiP29jZWeOi48jTp72OHjYYe9ija2LDdYOFljaWWBhY4aZpQlGJobjXqSFEMgGBhnoldLX1U9vR/9QF3FzN+0NnbTVd9JS205TVeuwTmJTSxN8wz3wj/IiIMabkAQ/XHwd/8edQ0t9J79+dIA9P50CIVh03WSuun8+VraXFmFejIKMat58dCPNdZ1ceedM1t09+5Ijwp2b0vjwlZ14+TnwwgfXYjfOaXqnTpTy/JOb8fJx4LX31o3ZfCaTKXjksZ8pLWvmlZfWEBM9OhHk02+P8cPmM9x7y0yuWBKn1a6supVbn/6JsAAX3n3qCq1KBl//foaPN5/k6ZvmsmRKuEabrSfzeW7Dfh5ZPZ2rZsaM+P3ftqHsHPKqmlj/+s+smhzJE1fP0nhcYWUzN73wE3MnBPOv2xZoPf/Ln+xlx5F83nniChIitf+xDx4v5l+v/86KhTE8cPvsUa85L7+Ohx/9mdAQV159ee2Yuj9dnf3cf/u39HRLeO29awgM1hw2XoyS/Aaeuus79PX1eO6Dawi4hO5igMaadp6/6zuqS5pZfet0rrt/3p9SF5VJBvnlg/38+slBAJbdOI3Vd87BcpxjCP8shBBUF9aTfaSInONF5KeU0d89NNHL1NIEv0hP/CO98A5zwyvYDTd/Zyz+wmlel3O9PR191Jc1U1PUQFV+PZV5tVTk1Z53VjaOlkRMDiJqSggx00NxHeco0r8CbQ1d/PjuHvb9dApjMyPWPbCApTdO+1P3iHRgkI+f38b+zelEJPry+LvrLpmBlpFSzgsP/4yFlSmvfHo9ruOgicIQo+jZf2zCL9CZ195dN+Y87r4+Gfc+sIH29j4+fP86PEcRjFSrBU++tJXT6RW88+KVo8pR7Dicz0uf7OWWNcncsEo7e/Gu1zZRVN3CTy9cj4uGDaoQgvs+2kZ6aR2bnr4ON/vhlN2/tSNQqdWse/lHuvul/PrMdRpzaAqliuue3UDfwCA/vXAdFlrmmR5LG6oLXLsskTuunqL1Guobu7jpgW/x83LgvZeu1JoHBGht7eX2u77B3MyID967bswwVDIwyEN3fU99bQevvruO0IjxRQKFObU8def3WFqb8tIn1+N6iXz+rJNlvHTvBnR0dXj0zauInxo09kGjIPVAPh8+8QutDV1MXxHPjY8v/dM55vFAIVeSfaSQU7uySN2TQ3vj0DAWFx9HIqcEEZYUSEiCH27+Tv9ruo1VStWQhEZqOfkppeSdKBn2uSYuiCZpcQxhSYF/ao7AeFFT2sQXz20h/XARXkEu3PvqlYSOQ99nNBzcmsH7T/+GuZUpz366Hv9x0qLPoaywkafu+g49fT1e/fwGPLw1j4+8GCnHSvjXE78Sm+DD86+vHfVZhiEF0zvv+Q5zc2M++uC6UWcj9w8McutD3yOTKfjqveux1qBqAEML+Lk+pc9euJoQP80ReFN7L1c99S0R/q6899BKjZFhc2cfVzz3LbEB7rx31/Jhv9PmCP5H6KN/9SsuLm5YRfyXI0MsoX3p2hkx3+w4IxKuf1McyyzXatPTJxWLb/1YXPfIt0I+Cr1NoVSJWx/6Xiy86j3R3Nqj1U6IIcrnnXd/KxYtfVPU1IzNtFEqVeKJB38Scye/IM6klI1pfw4l+fViRfIL4sYl74i25tGvSRP2bkoVC4MeE7cvfFM01f45umZvZ7945a5vxHzXu8VtM14UeafH/zkuF0qlSmQeLhBv3P6FWOl+h5hnsV4sd7ldPH/NB2LXN0dEc03bv/0a/iehVqtFXWmT2PbJfvHUqrfEYvubxTyL9WKt773igwe/E4VnysdFkfyz13Bqb664LuFpscDtHvHx05uETKKdKTMelBc0iGunvCiWRTwhzhwePyPoHKrKWsTaGa+Iq2a/JhovgXa8c1ummJ30vHj7lR3j+t5ycmvF7Hmviqf/uXlM+9KKZjFzxZviiRe3jGrb2y8VS2//RFz94Nejrj8b92eKhOvfFHtOFWm1+XZfmoi5/S1xPK9y2M/5T9FH/x2vCx1Bn0QmZjz8sbj5zV+0fsmtnX1i6q3viYfe2ar1ixNCiFc+3ScmX/mmKK5sHtXuu42nxJQlr4mDx7X/Ic7h088PixmzXxaHj4xtK4QQX3x8UMxOel5s36ydX3wx6qrbxJrpL4vrFrwpWpu7x33cOWz67LCY7/+IeGL956K/99L7Cy5ETkqpWBf7lFjkea/Y8OZOIR8HRe/PoL2pS2x4eau4NvQhMc9ivVjhdod4/bbPxend2WJQKv+3vvd/EyR9UnH0t1TxwnUfiiUOt4h5FuvFzXGPi1/f3yN6O/v/ve/dLxMfPvmLmO96t7hl6vOismDsHprR0NHSI+5e9o5YGPSYOLg145KPryprFldMfUmsX/SW6OroG/dxX3x09tn7bXzP3sZfTosZs18WW7eNfY0//nZGTFnymth7uGBUuxMZFSJpzRvim99Oa7VRqlTi2n9uEAvv+0RIZJrvcblCKZY985VY+ew3w+jxf1tH8MnvKSLm9rdEfpV23vlzX+wRyTe9I+pburTaFFU0i+S1b4h3vjmk1UYIIWobOsWslW+Kp18e3akIIURuXq2YOedl8fqbu8a0FUKI0ydKxeyk58VbL+8Yl70QQvR0DYj1i98Wa6a/IhrGEXFcjB8/PCDm+z8iXr5vw59atNVqtdj4/l6x0P0ecdPk50RpTs1ln2s8qMitEa/c+IlYaHOTmGexXjy+9HVx5NfTf3pH+ndAf49E7PnuqLh/1vNinsV6sdTxVvHufd+IhoqWf+v7ZhwtElfHPCGW+j4g9v186k+da6BPKh675hOxIOBRsW9z2iUfX5RbK5ZOeE7cd82nYlDLYnkxlEqVePzBH8WCqS+JkqKxe4FUKrV49B8/i/mLXhd1Y0QfSqVK3P7w92LxuvdF9xiNoI+/sU1Mv+Yd0dymPbLPKW0QCde/KT7fqr1X6kBmqYi5/S2xLSX//M/+lo6gVyITUx74UDz48TatX0Z1Y4eYsP4t8daPh7XaqNVqceezP4sFN38o+gZkWu2EEOLhZzeJ+WvfEW1j7DQGBxXi2vWfiquu+UhIxrE4dbT3iVUL3hS3XveZGJSNb0FWKlXiH7d+LRbHPysKsi994f3tq2Nivv8j4rWHfhp3g5omDErl4uU7vhLzXe8WL93+lZD0j/4d/hmUZVeLZ9a8cz7188ljP4qG8tEjuP+fUZ5TI96660ux2O5mscDqBvHKTZ/8W7+vrrZe8djq98R817vFJ8/8+qfuK6lkUDx+3WdiYeCj4tiunEs+/sTBAjEv6mnxxtO/jTtN1tM9IK5a9o5Yv/bDcT23bW29YvGyt8T9D24Y8z3Kq1rF9GWvi9c/3DuqXWNLt5i27m3x3AejbyAffW+bmH7b+6KrT7NjUavV4qoXN4glT395Pir4WzqCr/emipjb3xIF1dpv7Gc+3SWm3PKu6OjR3h15OrtKJK15Q2zananVRgghzmRWiilLXhM/b0kd1U4IIb7bcELMmP2ySE3V3hp+If75j1/EgmkvierK1nHZCyHEdx8eFPOinha7xxnKXoijO7OHuoTv/Pay2v3Poa97QDy0/C0x3/VusfGDff+2vHRrXbt45aZPxDyL9WKVx11iwyvb/u0pj78T2pu6xGdP/iyWOt4qFtrcJD586HvR0z7+tMmlQKlQio+f3iTmu94tnr/583HvyDVBOjAoHlz7oVgc8g+Re2Z8z9KFuJxnJCu9SsxOel589M7oC/Y5/L4zS8yY/bLYuy9vTNt3Pjsgpi17XVSOUbP64PsjInntG6KyTnuUX17fJhKuf1N8/OsJrTYHs8pEzO1viT1pQ93L2hzB/w7KhAYoVWp+OZJDQpAHoV6a6XMtHX3sO13M8mkRGmcQnMM3v53Gyc6CpbO0dwwKIfji+xM4O1qxYtFIfu6FaG/v46efTzNlciAJ42BSpBwv5eTREq67aRpe4xzmXZhTy09fHGX24mjmr9DOUdaE8oJ63nx0I2Hx3jz61lWX3cnb1zXA42s/oCSrhn98tJ41d835y/ntKqWKX9/bzc3xT3ByewZrH1rEN7mvse6xpf9Rmuf/Ntg5W3PLC2v5Ovc1Flw/lR1fHubmuMfZt+H40I7wL4Sevh63P3cFtz67kpO7cnjuxs8ZlMrHPlADjE0NefaT9Th72PLC3d/T0tB1Scdffdt0ohN9+PjVXTTWdozrmOg4b5asiGPLL6mUFjeNab9wfhTBwS58/uURpGN8zvVrkzExNuDLH06MarduaQLGhgZ8u+WMVhs/N3umx/nz66FspIOaR59Oj/TD09Ganw5njfp+/2sdwcn8Kpq7+lg7PVqrzebDOQgBV83TvlDmlTaSU9zAVUviRx0aczqjiuLyZq5fmzSqHcCGH1NQKFTcesuMMT+HXK7k43f34e3jwBVXaZe2vviYt5/dir2TJXf8Y+G4jjmH/l4pL969AUsbM5764LrLHm8o6Zfx1DUfUVPaxNNf3sK0ZZfmjMaD+rJmHpzzEl889Qsx00P5LO0lbvjnFZj/hTr6/7/B1smKu9++jg9PPItHkAtv3fkVT696m47m7r/8vVbcMoP737yazKPFvHTbVygVqss6j4W1Kf/8ZD1KhYqX792AQq6501sT9PR0eei5lejr6/Hu89vH7fRuumMG1jZmfPj23jGP0dXV4Y7bZtLR0c+27Zmj2lpZmrB6aTzHTpVRUd2m1c7a0pRlsyM5mFJMc3uvVrtr5sfTOzDIrpOFGn+vq6vDmmlR5FY2UVLXqv0zjHrV/8XYfqoAe0tTpkZo3nErlSq2H8tnUpSPxsaLc/h1TxbmpkYsnqG5U+8cft6SiqO9BfNmjN6l29bex+49uSycH4mb69ic+Z1bM2lu7Oa2e2ePyV8+h9++O0ldVTv3PrX0kofJf/L8NlqbunnivWuwvkTdoXNQKVW8fMfXlOfV88QnN5I4K+yyzjMajv2Wyj3T/kVjZQuPf307z/58H85e4+OF/x/Ghk+YB6/v/gd3vr6OvJMl3Jn8DNlHNS8mfwbzrkzirpfWkHqwgA+f2HjZ0Ye7jwMPvLyaktw6fvrw4CUd6+BsxU33zyUnrYrDu3LHdYyZuTHrb5lGYV49KcdKx7SPCPcgMcGXjZvOjBkVXLEkFhNjAzZuTRvVbs3CWISALftGyumcf19/FwI8HNh6NE+rzaIJoRjq67H9VIFWm/+VjkCtFhzPr2J+QrDWMZGn8mvo7JWwdKr2Bb63X8qRM2XMnxKicajDOVTVtpOVV8fKRTFjLtZbtqSjUqm5cu3EMT+HfFDJz9+nEBXrRfw4dVa6O/vZ+NVxkmeEED8pYFzHnEPa0WIObs1k7e0zCLmE4eAX49vXdpB+qJC7XlzNxDEEuC4VQgi+e2ELL63/GJ8wdz5KeY5pq8YXKf0fLg26urosvW027x/7J1Z2Fjyx/E12fnn4L3+fRddNZu09c9nz4yl2fnv8ss8zeX4Es1fEsfHTw1QWNV7SsfNXxhIQ6spX7+1HriWNcjHmLYrGzcOW7786Ni4Htu7qJHp6pOzbnz+qnaWFCfNmhnHwWDE9Z8eKaoKzvSXJcb7sPJKPUqXWaKOjo8PSqeGU1LRSXqc5wrAyM2ZyuA9707U7tP+VjqBPOohSpWZOXKBWmwNnSrA0MyI5UvtAiUOny1AoVSyaPno0sHN/Hvr6uiycPfqiJ5cr2bUnl0nJAbiMMWAG4OC+PDo7+rl6vebhFJqw6ZsTDMoU3HDfnHEfA0Pdth8/tw13XweuvEOzBMd4kHG0iE0fHmDhNZNYeO34r3s8UKvVvHf/t/z42nbmXTeFV3c+hoPbXzft7P+gGZ5Brrxz6CkS5kTw/gPf8eNr2//y97ju0UUkzAzl039toaqw4bLPc+sTSzC3NOGj57ZeUnShq6vLTffPpb2ll12bM8Z1jJ6+Lldem0xFWQuZaVVj2oeHuRMY4My23zPHvLZl86NRKFXsHyMKWzQtjM4eCel5tVpt5kwIQk9Xh/2p2hf6pclhTAzx1Pr7/5WOoF86iJ2lKWFapo4pVWpO5lYyOdoPg1F28EfOlOLhYkOgj3blS7VacOh4MRPjfLEeY5D8qdPl9PZKWbwwelyf4/ffMvDxcyQmzntc9v29UnZuSmf6gshxt8+fw55fUmmq7eC2J5diaHR5CqKSfhlvP/gjnoHO3Prsyss6hzYIIfjwoQ3s/vooVz68mPvfv+FPK53+H8YPUwsTnvnxHmZflcx3L2xh41s7/9Lz6+rq8tC712JhZcIb929Apbz8esH1D8yjIL2a1MNFl3RsdKIv4bFebP7u5Ljff+bccKytTfn9t7Gdh46ODosXR1Nd3U5JafOotn7eDgT4OHLg6OifYWK0D6Ymhhw+o32Rt7U0JTrQjWNZ5Vptpkb48sIN2vXV/lc6ggGZnAnBnlrnAxRWNdM7MMjkKO2MnQGpnMyCOqbE+43KdCkqbaK9s58Zk8fW3Tl8pAgbGzNiY73HtK2qaKWspJmFy2LGzbQ58Hs2Mqmcldcmj8v+HJQKFb98epiweG/ipmiPosbCT+/sobOlhwfeXIeRyejiXJeKze/vYeeXh1nzwELWP7Pqv0qf//8X6Onr8eDHNzFj9US+fvZXjm7Wzli5HFjZmnPni2uoLKhn14aTl32eeasTcHa35acPD15yzWHlNcm0NfdwZhx5fwBDQ33mLIzk9Mkyei5QhdWGaVOC0dfX5fDhsestMyYHUVjaRFtHn1YbI0N9kqK9ScmsHPWzTorypaK+g9Yu7ecaDf8rHYFSrSY+0EPr7zOL6wGID9Fuk1Ncj1KlZmKU96jvdSazCl1dHSbEjj6zVC5XkpZexeRJ4xP9OnKgAF1dHabPGr9E9P7tWQSEuuI/TiXSczi5L4/25h5W3zL9shfY9qZutn11lJmrEggeh6O7FOSfKuWrZzYxeXk8Nzx7xV967v/DpUFXV5cHP76J0IkBvH3319SXjb6zvVRMWhhFZFIAP769B9llUkr19PVYdfNUSnLrKM7WnjLRhAlTA7GxN2f/9tHplBdi5txwVCo1J48Wj2lrYWFMbIw3Kae0787PIens7JLUzOpR7SZEedPRPUBVvXb6a0LoUNrn3Np3qfhf6QgAwr216+PnVzTh5WyDtYV2lc/ckkb09HQJDxxdpjk7v45AXycsRzkXQFFRI1KpnMSE0R3GOZxJKScs0gPrcXLhG+s6qShpZsaCyHHZX4j9m9NxdLUmYfqlD6o/h21fHUWlULHuQe3h5eVALlPw9p1f4ehpz4Mf3vh/kcB/AQwM9Xny2zvQN9DjnXu+/kv7DHR0dLj2kYV0t/exf+Ppyz7PzGWxGJsasm/z6Mybi6Gnr8e0ueGk/z/2zjo8yrN52+fG3d3diSMJ7l60LXWhpUbd3d1b6l5aWloKBYp7gJAQd3d3T3Y3u3t/fyxQaLLJhrbv+2u/9zqOHEl253nWnr1n7plrrkkspb9PptUxvv6OODpZkpw4+uIOMGG8D3X1HTQ0dI5o5+Nph5WlCZm5IzuzyDMBbXah5tqKn7sdxob65JSO3vcwHP6RjkAHCV5OmouIRVXNBHmNrNFeWNaIr7udxsljoJ5cVVjSSGjQ6Jr+uXlqTxw+TnNB5ix6ugcoL20iRkunAZB6sgSASWNczHu7B8g8Vcr0JZEXLbk8KFew/8ck4haE4/wXUzh3fnaIurIm7nz7WkxGcbb/w38Ots7WrH3+MnITizn+69AhUH8GoRN88Q93/1PpIRMzIybODObUgTyUGhg1mjBpRhCDcgXZqaMXgEHtvKLHe5OdWY1KNbpTjIhQrwFn14SRzhsW5EJ+8ciLt6ujJZbmRhSUN2m00dXRIcDTgeJqzb0CI+Ef6QgM9HU10kb7pXKa2nvwcR15MEV5TRu+HiMvavWNnUhlg/j7jD5GsaS0CVcXa8zNR+f1F+bXIwRazxkAyE2vwsHZcswzBrJOlaJUqJgwc/hpbNog+1QJ3e29zLn0r6VxymWDbHlvL9EzQ4mZPTJz63/4z2Pe1VPxCHRh85u//eW7gtmXTqSyoJ7aUs2L22iYOCuErva+MVNJQyI90NfXJTe9SvtjxrnR2yOlVovuZC9POwwN9SjV4rX5+zhQW9+BdARKq0QiwdfdnoraEUe54+NiS2VD+6iPORz+kY5gJCZQfUsXAG4OVhptZPJBWjt6cXceueGruk79pnq6jT7tqKqqFS8tmTyV5Wqv7Rug/fjHkoJ6AkaYcKQJ+RlV6BvoERiuuV4yGtKPFaJnoEfU1D83qOaPSD2QQ0dTFyvumPeXnvd/+Gugq6vDslvnUJZdTXlOzV967klz1Y4/LWH0vLsmhJ3ZUeePYUEHdQHYO8CJ0jE4EL8zo1orykePuHV1dXB3t6WyauSFG8DDzRYhoK5+ZOkMN2crakfp/nZzsKSrV0pvv3Ypr/Pxt/PzJBLJAuBdQBf4XAjxyh/uNwS+BWKANuByIUTlSOfU19XsCFrOjCF0GGGWanNbLwCOo8zLbW5VV+AdR5mBKoSgsalLK10hgPq6DswtjEedVHYWg4MKmuo6mLlw7M1blUWNePo7/ikqZlFGJf7j3P9yplDy3kzMrEyInvXXdyaPCT09sHkzlJSA+xmHWVMz/N+lpdDcDA0N0NgIKhUoFOr/B4ZpDvqLdXz+05iyPJYN920kaXcGvuGjpz21haO7LbZOVhRlVALTL+ocdk6WWFibUlk09ry4h489mcnlWtu7ntmJ19dqp3Xk4mxFZeXojsDJXr22NLX24DsCjd3R1pzO7gHkgwqNEjf21uo1r6WzFzOToVMaR8Lf6ggkEoku8AEwF6gFUiQSyQ4hxPncqrVAhxDCTyKRrAFeBS4f6by6GmijAF096i+jpanmRbbzrM0oC3HHGbrYaP0DUukgMpkCGy0Lv+2tvdjZaz+TtaO1F5VKYO9kpfUxZ9FU146PFjWOkVBb1kzc/L+2gxigKLWc4Al+Fy16NyrOX+D9/eHyM5fV+bd5eMDq1eoFva/vr38OEsk/2hlY2prjEeRCUZp2+fSxwDPQidqyi8tpgzpl4uxuQ5OWi/P5sHeypK2lB6VSpRXLz9jEABNTQ9pbe7U6v7W1KRmZo+9UrM/oZnV2jUxNPTvisqtHir2GIPcsOaarV6rVczwff/eOYAJQKoQoB5BIJD8Cy4DzHcEy4Jkzf28BNkgkEokYISkpGcERDMjVuTYTY81FYKn0jM0IshIAA1I5Rob6GusRZ9F3hn1gpqXuT1+fDDMz7T12b7f6gzW3HHsxtaezH8s/MSheqVTR1daL7UU4odHQWNVK5HTt6bNjwokTsGjR7wu8qSncdZd6YZZI1LeZmED/6NzwP41/uDNw9XP8y2mkALaOllSP0ng1GixtzWhr6hrzceYWxggh6O+TYa7lztzMzJC+Pu0WWVMTw3PrwkgwMVGvQf2jUGmNjdTr2YBUs52JocGoNprwdzsCV+D85GIt8MeK4zkbIYRCIpF0AbaAxn2VrkTzwnyWQaA7AkNGqVLbjLbAK5UCPb3Ro4WzOiDaDg1XKJToj6Jgej4Gz6g26uuPPXKWyxQX3UkMnFN6NDC6OJVSTRBCIO2T/XmmkKaof9Ei9X1nMVy0/59wAv8CmJgZIb2IvPNoMDDSRy7TXkl0OOgb6DEoH3uX8tlU6VgUUfX0dVEotGMo6enroFKptf5HokTrnUlzj8Z8OrtWKUdgLWljo/HYMR/xX4JEIlkHrAOwd9Fc+DxLkTy72A9vo/5gNAk5nW+nzQd/1gFoS2PT1dUZU4v9WWekuIi2/Iv9opw7/ozzGdRSqEtbSCQSDE0MGNAywhoWw0X9990Ht90Gyot/zf/DhZD2yzEyHlvOWRvIZYo/LSMyKFegdxEBkmJQ7YC0CfTOQqlQaW2vVKjQ0ZGM2hej1DKIVCrVi/tIaXGFSjWqjSb83Y6gDjh/1XY7c9twNrUSiUQPsERdNL4AQohPgU8BPP2DNLo84zPR78AIkYax4dlt1siLm4mxPlLZ4Kh5RJMzRdQ+LaMmU1MjmsawnTU9Q0k9myIaC8wtjenquPjct66eLhbWprQ3adZEv1g4uttRPxILY7ho39z89/s0Rf2vvfaXP9f/n1Ff3oSD++jMubGio7kL6zHUyoZDd0cfFtZjn0/R2y1FIpFgMgYZ995eKSam2jnEvn7ZubTPSDibEjLWIk2tttO8Mz+7no3UG6UJfzd9NAXwl0gk3hKJxABYA/xR2nAHcN2Zv1cDh0eqD8Dv3nE4WJqdKZj0aJZ3tTyTjugcwQbA8myBZgSpWFDn+QwM9Ghv127BtbE1pa1Fe00QG3tzdPV0aBzjdCYAR1cbGmsujlt8Fm6+DlT/DTnigBhvCpJLh99JnTgBrq5wzz3qhf2ee9T/HzkCSUlw442aUzsSCYzALPsftEdvZz+VebUEjCKxcjGoLm7E1Ue7iXya0FjTjoMWcz/+iJamLqztzLRO50qlg/T1yrAegY14Pjo6+rGyGr0219F1lpAycor07FplYabZrqv3rM3YZpTA3+wIhBAKYD2wDygAfhJC5EkkkuckEsklZ8y+AGwlEkkpcB/wyGjnVYyw7bez+p1CpQn2NuooZCSxJwAHO7VdY8vI0bBEIsHR0YJGLac8OblY09XZT2+PdhG+gYEe9o6WWo/aOx+eAY5UFTdetNojgH+EJ8VZ1VrruGuLCfPC6W7vJePIHwZmnB/tn43y+/rU/8+aBXFxsGWL5vSPEGN3BKZ/49jLf3Ch+OTOVFQqwYT5Y5c2GQkt9R0013UQGHnxczHaW3robOvFawz9OGdRXdGCq4f2u5z6WnUw5eKqndNpaOjEydFyVLvmM2vL2bVGo11bD5bmRhiOkEpr6VCveQ5WYx849bfXCIQQu4Hdf7jtqfP+lgKXjuWc8hHy9i5neLm1zZ0abYyN9LG1MqWmceQI2/2MFn51bRshASMLvXm421JRoXn03Pnw9lXzhctKm4jQckCMb5AzxXlj13EPivTg169PUJxTe9HDaKKnBbL9i6NkJBQxce6f7AA+L90zycsXKztzdn52mNjzZz1s2AAyDWk2PT24+Wbw9YWnnx6+CGxqCuvXw4cfXlg/UKkuZA2ZmoKOjtqp1NSoewTczjTt1dYO/3d5ubp/4GwfgRDqPoL6+uF3KP9gJ6BSqdjxySE8Al0IjNWuR0ZbpBxSO//IqRevf5Wbou4DGOt1PTiooLyokcWrx2t9TFmJukv47Hd3JKhUguqaNhYtGN15Vp1xMK6jNLfWNnbi6mg1sk1LF+YmhmPuIYB/ULH4fMgVCpQq1bDMIDNjQ+ytTCmvGzl69nKzpbRq5IXbzcUaAwM9SitG5zoHBDiReKqE3j4pZqYjb80Cg9VOpSCnVmtHEBblwclD+TQ3dOKgxdCbs4iM80dHR0LykYKLdgSRUwOxtDXj6K+pf84R/KG4a2BqylKdEDbu7qb0y1/wq8iE7dshR/PYPRQKsLSEdevg2WeHt9HRgSeeUP9s3qxe4P38LuwjOP82s4sb2flvx7EtyZRlV/PAxzf95WKAh7acxs3XAa8xKumej9NHCzGzNMY/zHVMxxXl1CKXKQiL0f77kJ9bi4mJAe6eo+8iqmvakEoH8fcffadSUt6Eq5PVuTrjcBBCUFbTSnzUyOm5iro2PJ1tLuqz+kdKTKiEoHqEiD/Aw4GiqpEX7xBfJ8qqW5GNMAhbT1eHQF9H8gpHb0UPDXZFCMjNHT1qt7I2xcvHnjQtph6dxdmxlEnHirQ+BsDSxpSISX4k7Mq6aL0YA0N9ZiyP4cSuTFpGaYXXCA3pnst7UtnU9xN+a1cjXnoJrK3h0kvBWEMu1NRUvYCbm8Pu3erfZ9M6pqa/325mpv5ZuxZefln9W9Nt/8MQdLX18MmjP+If5cXMy+P+0nMXZVaRn1rBwqsmX7SDkUkHOXUgj0mzQsbckHjqaBF6erpEaqkEAJCeUkFYhIdWNYWsbLWaaGjIyA5KCEFeUT3BgSM7w8bWHjq6+gny0SykqVIJiqqbCfC4uJrLP9IRAORUaG4rD/N1pqK+je4RqIlhAc4olCryR5FtjRrnQX5xw6iMoNBQVwwM9EhJ1a5tfdIUf7IzqugZpRB9Fu7e9nj6OnB07wjRsgbMWh5NQ3UbmVrK6A6HFTfPRAjBj+/tv7gTbN48bE5fD4FER8IbRlP46No3EUePwhdfqFNAw0FH5/fIfsoUdUrm3XfhkUfUv+vr1bf/DxcNpULJq2s/oa+rn3s/uFHrgqq2+O7N3ZhZmbDgqrENWDofR3dm0N8rZd4Y0jugTncl7M8laqLPOTbeaKgsb6G+toMJ8X5a2aeklOPoaIHrKPWE6rp22tr7iBhFQywzX92KFR6o2bGU17XSNyBnnN/FqQj8Ix2Bro4O6SWaI++oIDeEgLRCzUJZUSHu6OpISM6qHPGxYiM9EWL04RGGhvrExnhx4mSxVlK1U6YHoVIJEg5rP25vztJI8jOrqSwdW1v+O3X93AAA+zNJREFUtEXhWNuZ8fNnR8d03PlwdLdl0TVT2LspkfJR5HWHoKsLfvxRI8vHWtmPQ1wEO37JUo9I1CbaP4v/Rfh/KYQQfPjg96QfzuP2N6/GJ+zixQqHQ8rhPFIP53P5+rljom6eD6VSxS+fJ+AT5HxOeE5bpJ8qo6WxizmXRGp9zOH9uejoSJgyfXTRxf5+GalplcTH+Y+620lMKQMYdehVcnYVVubG+I4Q7acWqNe66MCxC1PCP9QRmBoakFRQpTHVMc7XGTNjQ05kao7OzUwMiQhy43hq2YiPNS7YFStLE46eHD0lM3NGMC0tPee2hiMhIMgZL297du3I0DplM29ZFAaGemz7PlEr+7MwMNRn5drpZJwsITt55Nc7Eq65fxHmVia8ff8m7ToyMzLUuXwXFzh0SB3NDwdTU66+IpKZl07i62d/4ed39/wv2v8vQAjBxw9vOjcydOF1FycGpwl93QO8//Bm3P0cWbZ2xkWf5+jODGrKm1lz++wxp5a2bkzE2s6M+FnaybIrFEr27c4iZqIPtqMwewCOnyhGLlcwc/ro5z92shh/HwecHDSzixQKJacyKoiL8tY4mhfgZHYFnk7WONuNLJCpCf9IR2BmbEBzZy+FNcNHxvp6usSN8+JEZvmI3cMzJvpTUdtGWbVmlUBdXR1mTg7kZEoZPaOIOU2OD8DUxJBdu7NGfQ0SiYQlK2MoKWwgL0e7CNvS2pT5y6M5tDNrzD0FS6+Ox97Zik9e2HHxg8OtTbnz1TWU5tTw9XO/wOefw8MPq3+fbewaGIBvvoFJkyA6Gr77DtasgaNHNVM0dXTQuWIN93+8lmkrx/PFkz/x2eM/ojQ2+V+0/x+CXDbIazd9yvaPD7Lijnl/+chQIQTvPfQDbU1d3P/O1RfdUdzXI+WrN/bgH+bK5PljIy7kZ1aTnlTGyqvitJZ4SThcQHtrL5esjNXKftfuLFxdrAkNHbk+UF3bTn5xA3NGcRjJ2VX09EmZOUnzrPGu3gFSC2qYFu2r+TwFVby2+YjG+/+RjsDcxBBdHQkH00s02syZEEBHzwApeZoVAGfFBaKrq8PuY7kjPt6iueOQyxXsPZw3op2RkT7z548j4XghLa2jN4zNWxSOhaUxm745MartWVx+4zR0dCV8s+GQ1scAGBrps+6xpZQXNvDLFwljOvZ8TF4YweK5vvzy5XGOPvju781ezs5wxRVqmuX110NnJ7zzDtTVqXP+06ePmu7R09fj4S9uZenNs/jl/X08fek7dI3S6/E//Hk0VbfywPyXOfJzEtc/tYp1L635y1lCP394kISdGVz38BICo7wu+jxfv7mH9uYebn96xZgm7gkh+OLd/VjbmrF0jXYDllQqwQ/fnsTd05YJcaPXBwqLGsjNq+WSpVGjvn879mWhq6vDvBkjiy7uOZaHpbkRE0eYrX4opQSlUsXcCZpTV78m5rEnRfPsh3+kI9DV0WFSsCd7Thdq1BSaHOGNhakR2xM0L/I2liZMjfFl97E8ZHLNzVKBvo6EBrmw9bf0UfWEVq+MRaUSbP4pedTXYWxswKVXxpFyqowcLYdw2zlasPKaeI7sySYnrVKrY85i8vww4ueGsfHd/ZTlj22q0zn09LBu6zOEyep422gyFXo2ahZQX5+6DjB9Ohw+DAUFcPfdahbQWWiR7tHV1eH2N67mzneuJSuhgNvjnyL14NgL5P/D6BBCcOSnU9wx5WlqSxt58vv1rHlgyV/uBI7+mspXL+1g2iXRrL5t9kWfJzWhiN++P8Wy6yYTFDm22QhHdmeTl1HNtbfPwkjLuRqH9+dSWd7CNTdOGzEtcxabfjiFqakhixZGjGjX1y9j98EcpscHYGuteZfb2tFLQkopC6aFjjiMa+fxXLxdbAn0HL7HoXdAxrGsMuZGa95V/CMdAcAlcaE0dvRwKn/4iN9AX48lU0I5llF2ruNuOKxeEEVXj5Q9CSMXbdcsH09dYydHToxcK3BysmLe3DB2/pZBc/Po+jzLLx2Pnb05H713QGvRujVrp+Hkas07z21HOop87fmQSCTc+fxKLG1MeemujfRqyVi6AJs3Y6Ac5Lm2nXzW8j3einbkZy8jY2NYvBhmzlQ3bQ0HLYq7EomExTfO5O1DT2BqacITK9/ijVs+o3OUDu//QXs0Vrbw9GXv8upNn+IR6MKGhGeYvDTmL3+c479l8PpdGxkX58f9b1990XOzm+o6eP2BH/EKdOL6+xeO6djO9l4+eWMPQePcmLc8WqtjBgbkfPnxYfwDnZg+e3Sp9KKiBk6cLGb1qvGYjqJHtG13Jr19MtYsH5nxtGVfJkqVilXzIjXaFFQ2kVfeyMqZ4zQ68L0phUgHFVwSr3kA1D/WEcyI8MXWwoTNRzM12lw6OwKVSsVPBzM02kSFuBHk48h3O06PWE+YOskfb087vvrx5Kiqpddeo45wv/jq2MgvAnU66eY7ZlNS2MDObWmj2gMYGRtw91OXUFfVxhfvjI3OaWVrxqPvXk1zfScv3/39mGR4AbXWT38/xiiwUfbxkcVU1jiuJdXQQ10fKL14iuof4RfhyYaEZ1jzwBKObklmbfQj/PzuHmRjcH7/w4Xo6+rnq2e3sG7C4+ScLOLml9bw+t5HcdFiLvdYcWBzEq/c/jVB0V488/UtFy1l3t8r5bnbvkExqOTx96/BcAznEULw9rPb6e+Tc8/Ty7Wmwm78IoGW5h5uv2feqLsBIQQff3oYS0tjVq8ceXHv7ZOxeVsKE6O9CRqh4aynT8rWfZlMH++P2wizQL7fm4qpkQGLJw+/yAsh2Hw0iyB3B0I9Nfch/GMdgb6eLpdOi+BkXiVl9cMXe10drJgVG8CWw1kaewokEgk3rJpEfVMXe45prgHo6Ei46aop1NR18Nu+kYvBTo6WXLpqAgcO5pGtxazXmXNDiZ3owxcfHaZByyJw1ERfVl4Tz87Np0nYP3KN448IjfFi/bMrSD9RzHtP/IJqBMnucygqghUrYNOmc9G+HoI1vam4KLt42mYJu62i1M1efyEMjPS5/qlVfHTqeUIm+vPFkz+xNuoRdnxy8H8OYQzo7eznh9d3ct24h9j85i4mXxLDpykvsmr9/L+8T0ClUvH9W7t5677viYj354Xvb79oqqhcpuDFO7+jsriRR965EjfvsTVMbd2YSPKxItbePRcvP+2cXX5uLb/8mMyiS6IIixg9BXXocD5Z2TXceP20UXcD321JoqtngJuumTqi3eZdafT2y7hupeZ6Rk1TBweTi1kxY5xGWYnE/CrKGtq4YmbkiCm/f6wjALhsegTGhvp8see0Rpu1l0ykb0DOd3tSNdpMifEl1M+Zz35KHFGaespEPyLD3Pn8+xN0do881OSqK+NwdLTgzbf3IBtFrE0ikXDvw4vR1dXhlWe3az134Ia75hAc7s5bT/9K+RgnPc2/dAJX3zWXA1tT+fiFHZoprE1NcPvtEBqqpoA++eQF7B9r1QCvtW0jWlbN+yaTeT/f8C8XpwNwD3Dm+S338uquh3HwsOPDB7/nurAH+f6V7bRfxISq/1/QUNHMZ09s5tqwB/jm+a0ET/Blw/FnePjzW7A/o6X1V6Kve4AX133Bd2/uYe5lE3n221sx1lK6+Y8YlCt49d5NpJ8o5q7nVzF++th0idKTyvjinf1Mnh3CsisnaXVMX5+MV5/djr2DBevWj17P6Orq58OPDxEY6DxqbaCmrp2ft6cxf2YIgb6ao/OW9l42/ZbKrEkBBHprtvvs11Po6+ty5YLhGU1CCL7Yk4yTtTkLxo/y3gkh/nE/MTEx4ize3Zogom97SxTXtghNePyj38SUm98VjW3dGm2yCmpF3GVviI9+OK7RRgghyiqbxYzlb4gX3941op0QQpxOKRcz57wsPvjo4Ki2Qghx5ECumBP3vPjo3f1a2QshRGtzt7hq7uviqrmvi+bGTq2PE0IIlUolPn15p1jg96B474ktQqFQ/n5nT48Qzz4rhJmZEHp6QqxfL0RTk/q+48eFMDcXwtRUCBDC1FQozC3E57duEAtc1ov1818VNSWNY3ouY33e2ScKxRMr3xTzza8Xi23Wihev+0CkHMi+8DX8fwqZVC6Ob08RT6x6SyywuEEstLpRvHTdh6Iks/JvfdyCtApxfdwzYpH7XWLrJ4eESqW66HPJpHLxzC1fiQV+D4ptX438nRwO5cWNYsXkF8QtqzeIvl6pVseoVCrx3ONbxLwpL4iczCqt7J9+dquYu+BVUVbeNKrt3Y//KBaueVe0tveMaPvM+7vEtCvfFjUNHRptCiubxITr3xQbfkrQaHMip1xE3fqW+Olo5rnbgFQxzJr6X1/UL+bnfEfQ0dMvpt77gVj//laNb0hdc6eYvPYd8fhHv2m0EUL9AUy94i1RUdM6ot2n3yaIqUtfE4mnS0e0E0KId97bJ2bOeVkkJY9uK4QQ772xR8yJe14c3Jutlb0QQpQVNogVk18QN694T3S09Wp9nBDqC/SrN3aLBX4PihfWfyukPf1CfPKJEE5O6stj1SohiouHHtjTI8TnnwvxyCPq3z3qi/vUvmxxachDYpnPveLXz4/87QtzbUmD+PjhTWKV+x1ivvn14gr/e8THj2wSuaeKhVL5/49TGJQPirTDueKdu7664L34+rlfREtd+9/62DKpXHzz2m9ikftd4trxT4q802V/6nzdnX3igSs+FAv8HhQ7vzs55uPrqtvEFXNeE1fOeU00N2gfHG365oSYE/e82Pxdolb2O3/LEDPnvCx++PHUqLa/7s4QU5e+Jn7dkzGiXWpO1agBqUqlEje9+KOYt/5D0dM3vJNTKJXi0ue/FUuf+ELIBxXnbv/XOgIhhPj2QKqIuvUtkZCt+QL8ZOtJMf66N0VynmZP39bZJ+bfuEHc9Pj3QjHCIiKTD4rr1n8pll2zQbR3jLzwSqVysXbd52LZirdFwwge/izkcoW497ZvxMJpL4msdO0juKyUcrF0wrPi1ks3iM72UZxBd7cQn30mxEMPqX93d4tfPj8qnnZeIRrMzziA+HghErX7QvwRbY2d4omrPxQLXNaLe5e+Kcrzai/qPGOBTCoXCdtOi2fWvCuW2N4k5ptfL9b43iXeXv+lOL49RfR09P3tz+E/jY7mLnF4c6J45caPxSr328V88+vFJY7rxCs3fixO78sSivMWgL8L2adKxM3TXxALXNaL1+/8RvR29f+p89VWNIub5r0mlgQ/Io7szBjz8fU1beLq+W+I1dNeEhUlI0fp5+PowTwxJ+558eJTW7XayRQVNYh5C18TDz78o1AqR7avrGkVc1a9Je576qcRz903IBOr1n8mVt/5uZDK5BrtdiTkiPHXvSl+Pao5WPzpaKaIuvUtcSCt6ILbNTkCifq+fxZiY2NFaurvOf9BhZLLX/yOwUEFPz11LcYGQ1kFUvkgVz25EaVK8MML154bV/lH7D9RwDPv7+aWNVO4boXmQk15VQvr7v+O8BBXXn969YgFt7q6Dm6942scHS14/51rMB6Fx9zdPcA9676mvb2Xtz68Fh8/zXnC85F+qpRn7tmEs5sNL310LbYOw7SbDzfnVwgICIDMTOoMbPjZZz7zvnuRkJiLn0olhODwLyl8+uw2ejv7WHzdVK6+bxEWNn/jAJgz6Ovq5/S+LE7tziD1YC793QPo6EjwjfAkfEogYfEBBMb6YqPF4JD/KxBC0FLbTmFKGbmJxWSfKKQyX623ZWlrxoQFkUxaFEnM7DCMLkKPfqxoqevgy5d3cHRbKg6u1qx/5XLGz9JMT9QGSYfyef2BH9HT1+HJD64bs45QTUULj97yDTLZIK98cj2+Wkpcp6dW8MT9PxIY4sKr71yFgeHIXcdtbb3cfuc3SCQSPvnweiwtNY/KlMoGufWB72jr6OOrd6/HzlZz38Crnx5gx+FsPnj6ciKDh9cMau3s5fLHvsHHzY5PHrlsWEZTW3cfK5/5hiAPBz6+e9UFRWKJRJImhBhSVPhXOAKA1OIa1r29hWvmxHDvqmnDHpdeVMttr/zEihnhPHLdnGFthBA89e4ujiYX8+EzlzNuBMW/3/Zn89qGfVxz6SRuHoUFkJJawaOP/8T4WB9eeG7VqEyNpoZO7rlVTZl748Nr8fSyG9H+LLJSynnm7k1YWJnwwgfX4H4+y6KnRz3usWeYbl2JBN56i4rZK3nu7k0013dy3b3zWX3z9IvmfgP0dPSx8Y1d7Pr2BMZmRqy+bTbLb5rxH1msQD2kvDClnIyj+WQlFFCUWs7gGelxezcb/CO98BnnjneYOx5BLjh72aOnpfzA3wW5bJD6siaqC+spz62hLLua0sxKOs70pRiaGBAy0Y/I6SFETg/GL9LrL2f+aEJ3ex8/f3iA7V+qqdGrb5vDZevnat2kNRwG5Qq+emMP2746jl+oK098cC2OWk4CO4v8rGqevut79PR0efGja/HRcmpZTmY1j933A04uVrz14bWYW4w8MnJgQM6992+iuqaN996+Gr8RgjQhBM+/tYtDCQW89tRqJo4QWB1OKuaJt3dy1SXjueOq4dcvIQT3vr2NtIIavnvuGjydhy/2P/TZbxzLLufHx6/G2+lCm3+9IwB4cdNBtp7I4fP7LiPKb/gF/N0fj/H93jRev+sSpkcPT3Xs7Zdx/SMbUSiUfPnyNdho8PhCCN74YD8792fzxH2LR20X3/lbBm+/u4/588bx4P2LRuUn11S18cD6jahUgtfeu0qr6UgAxXl1PHXnd2re9RuXEzXxjAbJ55+r5SCGm+plYgLvvQdr19LbPcC7j2/hxN4cwif6cN8rl+Ho9ucYJlVFDXz18g6SD+RiaWvGqltns/jaKRdNK7xYyKWDlGRWUphaTkl6BSWZVdSXNXH2e6Crp4ujhy3O3g44edlj72qDnYs1Nk5WWDlYYGlrhrm12UVx4oUQyAbk9HT00dXaQ2dzN+1NnbTUttNS105jVSsNFc201LSdU7DV0dXBI9AZvwhPAqK9CYz1wTfc4z/urLrae9n26RF2fJWAtE/GrJWxXPPQkj99XVQUNvDGgz9SXtjA0mviuenhxRiMcfj6kT3ZvPX0r9g7WvDCh9fi4q7dc8pMq+TJhzZjb2/BGx9cg80I0TrA4KCSx5/cQnpGJc8/u4q4SSNTpb/bksyn3yaw9qopXDfCTIfq+nbWPvY9Xq62fPjs5Rq7iH86mMEb3x3h/qtmcvncqGFt9qUW8egXu1m/bDI3Lpgw5P5/lSMIC48UudmZQ27vk8pZ88JGBPDD41djbjw06pQPKrjphR+pb+3im2euxtV++PRAcWUz6574gRA/J959YrXGD2dwUMn9T/9MXmE9bzy7mqhxI/OOv9l4gm++PcGyS6K5a/3cUdv5a6raePDO75DLBnnhjTWEjNNOZraxroOn7/qemspWbrpnHiuujkPyyCNqbSBNeOQRdccv6kVr/5ZUPnlxByC4/v6FLLkq7k/tDgAKUivY+OZuMhLU06UWXzOFS26c/l9N00j7ZFQV1FFT3EBtaSN1ZU00VrbQVNVKd/vwXen6BnoYmxlhZGqIgZE+egZ66Onrnvs8VSoVykElg3IlcqmcgV4Z0j6pxgY+K3sLnDztcPKyx9XXETd/J9wDXfAIdLnoRqy/AvWVLfz62RH2/5iEXKZgyuJIrrx3AV5BF6d7fxZymYKfPjnM5o+PYGZhzN0vrmaSFh2850OpUPL1hkP8/PUJxsV48sQba7C01i71mHi8mBef3IqzqxWvvnvVqMqiCoWS517YzomTxTx4/0IWLhiZKnrwWAHPvfkbc6YF8+T9izV+z3v7Zax7YhOd3QN8+crVOGlQD80vb+TmlzYzIdSDt+5ZPuz5Gtq7WfPCd3g6WvPlA5ejN8wu8T/qCCQSyevAUkAOlAE3CCE6h7GrBHoAJaAY7gkOB3MXT1FZlI+t+dAPPbu8gbVvbmZmpB+v3jT8B1DX3Mm1z3yPi70lnz12OUaa6gUnC3jmvd0snhHKY7fO1/hhdvcMcMcjP9Da1sM7L64ZkSMshODjT4/w85bTLLskmjvvmDvqzqChvoNH7tlEW0sPjz6zgsla6KID9PVKefPJbSQeKWDK7BAeaNqD0fffDm9saqrW/lm79oKbm2rbef+praQdLyYw3J07nl2Bf9jFaZ6fj8L0SrZ8dIjEPVno6ukweVEES66bSugE379c6+bPQNovo62+g/amLjpbuulu66Wns4/+7gH6e6RI+2XIpXIUg0oUciXizFxkHR2J2jno6WJgbICRiQHG5kaYWZpgZmWKha0Z1g6W2DhaYutiPeYo+O+EUqki/VgBv31zgpRDeejq6TBz5XhW3ToLz1Fmd2uDjMQSPnp2OzXlzcxYGsktj1+C1SjR+B/R1tzNq49tITu1kkWrY7nt4UVaK4ru3JbGhjf34h/ozItvrsHSSnOOH9TB3gsvbef4iWLW3z6HlStGXqZOp1fwyAtbCQ104Y1nL9U4cF6hUPLAq9tIy6vh3cdXEx06/OyH9u5+rn/2eyRI+ObZq7AyG5q+GlQqufmtnymrb2PTY1fhbm817Lk0OYK/hdUDzAP0zvz9KvCqBrtKwG6s5zdxdBfrPtyikdnz9b4UEXXrW2LjgVSNVfUTmWViwvVvikc27Byx6v/Z5hMi7rI3xGc/jUxja2zuEqtv/Fgsuep9UVbZPKKtSqUSH31ySMyc87J49fXftKJYtrf1ivVrvxBz458XP248qTVHW6lUiq0bdosj1mFCgOjRN1Gzgv74Y25+jgI63PM99GuauGLSs2Kh/0Pincd+Fm3NmnsyxoK6imbx0ZNbxKqgB8UCl/Xi5ukviJ8/PCDaxtgT8T/8edRXtohvX/9NXDvhKbHAZb24IuJR8c2rO/+yz6KuslU8f8e3YoHfg+KGWa+I00cLLuo8p44WiMtmvCwumfic2L89XevjFINK8eE7+8ScuOfF4/f/IPr7ZKMeMzAgFw8/ulnMnPOy2PLL6VHtM3KqxZxVb4kb7/padPcMaLRTqVTihQ/3iLjL3hA7Dmlm/8jkg+KmF38UU256R+RXaO7NeW3zERF161tiX2rh8OcZHBRKpeq/Rx8FVgDfa7jvohyBT1CIGHfPW2LD7uEXZ5VKJe7/eIeIue1tkZinmYK5cXeKGH/dm+L9zZqbMs7/wH7anabRTgghauraxYrrPhRLr94gSitGdwZffZMgZs55WTz+5M+iv1+7i/K5x7eco7lpc4xIThbC21uodHXFTwGLxOKIx8UXnguEzMxCnG0GE+bm6iaxUdDb3S8+fWmHWBL8iFge/rj49p19ordb88U+Fgz0ScXeHxLFfZe8KRa4rBeL3O4Uj67ZIPZuShTdo9Fh/4eLRmtDp/j1i6Pn3veFrneKx67YII5tTxNy2eBf8hgdrT3io+d+PXfdbNpwUMikmumRmtDbPSDeemabmB/xpLj9sg9EVdnI37ELnkN7r3joru/EnLjnxYa39grF4OjBV0dHn7jjrm/F7HmviJ27Mka1T8uqEnNXvy2uuf2LEWnlKpVKvL/x6KgBplKpEk98tEuMv+5NsT9p+AVeCCG2J+aKqFvfEq//dETj4z3+/V5x+yfb/nv0UYlEshPYLIT4bpj7KoAOQACfCCE+HeE864B1AB4eHjHXvPwpO1LyeffGS5g5buhAhj6pnBve2Exjew9fP3g5Ps62Q2yEELzyzSG2Hc3m/qtmcPnc4ZUJFUoVT7y9k4SUUh66eS7L54RrfL01de3c88RmZHIFrz29mpBRttK/bk9jw4cH8fdz5IXnVmM7yhZZCLVG+jefHcPd05Ynnl+Fl88w+isqFbzxBjz+uJoptGkT/RExfPrGXvZuS8PdWo+7A6SETfBVzwAew9CX+qpWvnpjDyf25mBuZcLKG6ex9Op4rWfAjobasmYO/3KaI7+m0VjViq6eDuFx/kyaP46Jc8f96QLl/88QQlBb1kTygVxO7cuhILUCIQRewS7MXB7DzBXjsR8jY0cTOtt62fplAjs2nmRQrmTe6liuuWseNsPRmkfBqSMFfPDyLtpbe7j0+ilcfdtMrVNBudk1vPTUVjo7+7nrgYUsWBI56jHVNW08/sQWWlp7eOyRpUybOnI69lRqOU++sh1XJyveev5SjfLSQgg++ymRr7cmsWp+JPfdMGvYVKgQgnd/TGDTvjRuWzWZG5YOT2VPK67ltvd+IdrPlQ13rhy2LvDD8Uxe3nqEW+ZNZP2iyX9tjUAikRwEhuNoPS6E2H7G5nEgFlgphnkgiUTiKoSok0gkDsAB4E4hxKhTU2JjY8WJxCRu/OAnyhrb+fauywl0HboY1rd1c/1rP6Cnp8vXD67BwWroh6NQqnj0g50cSy/jqZvms2TK8Fxo+aCCR9/cwamMCh66aQ7L52ouFtU3dnLfUz/R0dnPcw8vG5E2BnAysYQXX96BmZkRzz2zkqDA0fOw6SnlvPzMdgb6Zdxy11yWLI/+/YJqbIRrr4UDB2D1avjsM7CyOndsWmIp772wg6b6TuYti+LGu+diZTP26V8lubVsfGc/KccKMbMwZuk18VxyzeQx53s1QQhBSXYNJ3ZlkLgnm7py9UQ6z0BnYmYEEz0tiNAJPv8xKuo/Fb1d/eQklZKRUEjKkQIaq9QijT4hrsQvimDqkig8RlDCHCua6jrY9tVx9m5ORi5TMH1xBFfdNXfMgnGgJj18/Poeko4W4uXvyL1PLycwbOTpX2ehVKj4YeNJNn6ZgKOjJU++uAp/Lb5bp1PKef7F7ejr6/LcMysJG2W4/J5Dubz2/l78fBx4/ZnVWFloZhl+uvkk32xLZunMMB5ep1nZ9IsdSXyyNZFLZ0fywNUzh3UWZfWt3PjGT9hamvL1A5djYTo0EDtVVMXtn25jcpAX761dhq6uzn+WNSSRSK4HbgFmCyFGVmhT2z8D9Aoh3hjN9ix9tLmrlyvf/gGA7+5Zg5PV0Mp/QXUT697egpO1OZ/dd+mwhRaZXMH97/5KSn41z968kAXxw4+Pk8kVPP72ThLTy1l/9TSuXKpZcra1vZeHnt1CRVUr9902l6XzR2YZlJU388RTW2hv7+Ou9fNYtDB81KJpe1svrz63nfSUCibG+3HPw4uxyzgF11wD3d3q4u/NNw87G0A6IGfTp0f5ZWMiRkYGXHXLDJaumaB1lHU+inNq+PGjw5w6kIeBoR6zl8dwybWT8dKSy60takubSD6YS+qRfHJPl6OQK9DT1yUg0pNxE30JGe9DULT3f6Rp7f8y2pu6KEirID+lnJykUspya1GpBEYmBoTH+TN+VggT5obh8BeKzgkhKMysZse3J0nYk41EAjOWRrHm1pm4XYTE9UC/jJ++OsGWb06ioyPh6ltmsOLqePT0NQ9oOR+11W28/sJO8nNrmTUvlLseWIjpKFRllUrw/Q+JfP3NcXy8HXj+uVU4jcBmE0LwzeZTfLnpJDERHrz46ApMTIbvp1CpBO99e5Sf9qSzdNY4Hr5ZM0nk290pbPjpOAvjg3n6pgXD2tW1dnHjG5sRwNcPrsHFduguq7i+levf34yztQXf3nU5pkYG/3HW0ALgLWC6EKJFg40poCOE6Dnz9wHgOSHE3tHOf34fQXF9C9e//xOOlmZ8feflWA7jFU8XVnPXB7/i62LLx/esHpZWKpUNcu/b28goquOJtfM07gwGFUqe27CbQ6eKuWppLLddqXl6UV+/jKdf3cHpjEouWxbDrdfPGHbrdhZd3QO8+NIOUtMqmDsnlLvvnIfJKNGuSiX49ecUvvlgP9fXHGRF5TFEaCiSzZvViqGjoKaihY9f30NaYinO7jbcsH4OU+aGXBRNtKasma1fJXD413TkMgXjJviw5Ko4Js0OHbVbc6yQDsjJO11G1slishNLKM2pQalQy2m7etsTGOWFX7g7vmFueAe7Yj4KM+Sfis7WHsrz6yjLraUkq5qizCqaa9sB0DfUIzDKi4h4fyImBxAU7XXRs4I1YaBPRsLubHZtSqQktw4TMyMWXD6B5ddNwd7ZasznUwwq2b89g40fH6ajtZcZC8ax9t552GtJL1YqVGz9KZmvPz2GgaEed96/gFnzRp9t3NHRx6uv7+J0SjlzZody3z0LMBqBtiuVDfLa+/s4mFDA/JmhPLR+PvoanNSgQsmLH+1j/4kCLl8UzV3XztAY5H25I5mPt55k3sRAnr1lIbrDfA+bOnq46c2f6O6X8fn9l+HvOrTZtK69i2vf3YxEIrkgSP5PO4JSwBBoO3NTkhDiVolE4gJ8LoRYJJFIfIBtZ+7XAzYJIV7U5vx/bCg7XVLDbZ9sI9DVns9uW4Wp0VCvnJBTzgOf7CTI3YEP7lyBuclQhyGVDfLgeztIzqvigatnctmc4Zs2lCoVb391mK37s5gTH8jjty3QTBFTqvjgiyP88ls6MREePP3gUo1bR1BT977flMi3353E2cmKxx5dSvBonO3ycuQrV2OQlcFOx/EkLr+F2x9djrvn0LrIcBBCkJZYyudv76OytBnfQCeuvWM2E6YGXBSVs7ujj30/p7Drh1M01XZgYW3K7OXRzFkRg0/wn+Ofa4K0X0ZxZjUFaRUUZVZRnFlFW+Pv8tR2zlZ4BTnj4e+Em58jrt4OOHvaYets+ad7I/5uKBVKWuo7qK9spb68mZqyZqqLG6gsbKDzvNnYju42BEZ6EhDpSXCMN37h7n8LLVUIQUFGFQe2pnLstywG+mR4+Dmy9Oo4Zi+PuSjZaaVSxbG9OXz38RHqa9oJifTgpnvnEaLFPICzKMqv553XdlNa3EjclADufmjhqP0BoE4Fvfr6Lnp7pay/fQ5LFo+s3d/Q1MUTL/1KaWUzN189latWT9Ro39Mn5bG3dpKWW80ta6Zw7fIJGmsCH/x8gm93p7AwLpgnb5o/bNDY1NHDure30N7Tz0d3ryLMa+iuu6Wrl+s3/ERXv5Sv1l+Gv/PvjuJf1VA2XGfxkdwy7vtqJ+Geznx0ywpMDIc6g2NZZTz42W/4udjx4V0rNaaJHv9oFwkZZdywdCK3rozX+MF9tyOFjzYdJyzAmVfuX4aNleaUxO6DObz10QEsLU149qGlhAWNnOfMzqnhpZd30trWw1VXxHH1VZOHjzh++AFuuQV0dVF9+hm79Lz54qPDyKSDrL5iEldcOxkTLb+YSqWKo3tz+O6jwzTUduAf4sIVN01n0ozAi1oslUoVGSdL2PfzaZIO5aMYVOIV6MTMpVFMXxzxtxd925u7Kc+rpTy/jqrCBqqKG6gtbUJ23swJPQM9HF2tcXBTdxDbOVth62iJtYM5VrbmWNiYYWFtiqml8V8u46AYVNLb3a/uNG7vo7Olh46Wbtoau2ht6KS1voOm2nZa6jvO7XYAjE0N8QhwwiPAGe8gZ7xDXPENdcNcy2aqi0V1aRPHdmVxZEcGDdVtGBrrM3VBOPMvm0BojNdFBQ2KQSVH9+bww+fHqKtqwzvAkevumM3EaYFan6+zo4+vPjnKnp0ZWNuacfs985g2M3jU4wcG5Hz86RF2/paBl5cdTz62DO9R6hiJKWW8+PZuhBA8ed9i4sYPJaqcRW1jBw+8uo36pi4evWUeC6cPv0NXKJS89PVBfjuRx6pZETx49axhswz1bV3c8vYWOvukbLhzBRE+Q4Oqtp4+btywhcbOHj67fRXhnhfWRP5VjiAsIlLkZmUOuX1/ZjEPb9xNuKczH6xbjpnR0AXwRG4FD3yyEzd7Sz68a5XGAvKr3xxke0IuC+ODefyGuRhoyJ0fSS7muQ17sDAz4uX7LyHET3Mxqqisiade2U5zaw9rr5rClSsnjNhM1tsrZcOHB9l/IBcfb3sevH8RgWeLXX19cOed8NVXEB+vnhzm6QlAR3svn314mAO7s7GxM+OGdTOYuzBc64VMMajk0K4sfvz8GA21HXj42LP62snMWBSOwUWmFrra+0jYncXh7ekUZlYDEBDuzuR5YUyeH4ar19gLiRcDlUpFS30ndeXNNFS20ljdSnNtO021HbQ2dNLR3HVO3uGPMDYzwsTMCBMzQwyNDTAw0sfAUA99Az109XTR0ZUgkegAakqeSilQKJQMyhQMygaRSQeR9suR9svo6x5A2j/8hDVdPR1sHS2xc7bCwc0GRzcbnDztcPGyx8XbHlsny/9I050QgorCBhIP5HJyXy6VxY1IJBIi4nyZuTSKKQvGXbREyEC/jH3b0tn6XSLNDV34BDhx5S0ziJ8ZpHXQIZcr2L4lle+/Po50YJDlq8dzzU2jTwkDSE2r4M2399Dc3M3qVRNYe8O0Ea9t+aCCT79N4Kftafj7OPDcw5fg6qyZXXUqo4Jn3t+Fjo6El+5bRlTI8AXn3n4Zj374G8m5Vdy0bBI3L4/TWBi+/b2tyAYVfHDnSkI17ARu/ugX6ju6+XDdCmJ9hz7mv8oRmLp4iBOnkojyHOoR92UU8ch3ewh2c+DDdSuwMh0a9acW13DvRzswNzbk/fXL8XUZmmMTQvDlzmQ+2ZpIRIArr65fio2GlE5xZTOPvrGd1o4+7r5uBivmRmjeKvZKeeOD/Rw5WUTUOHcevXshTg4j5z8TT5Xw9rv76OjoY/myGNZGWWB8w7VQXAyPPQbPPAN6Qy/i/NxaPn73AAV5dXj52LP2tllMjPfTehFRKpQk7M/j569PUF7ciJWNKYsvHc/iS8djo8WWWxMaqts4viebE/tyKMmpBcDdx4HxM4OYODOY4CjPvzyXrS2UCiWdrb10tHTT2dpDd0cf3e199Hb109c9QH+vFGmfDGm/HNmAnEG5gkG5AqVSoFIqUakEEokEiQR0dHXR1dNB30DtLAyNDTA2NcDIxBBTcyNMLIwxszTB0sYUCxszrGzNsD6jZ/TfSlfJpINkJ5eRcrSQ5CMFNNd1IJFICBvvzZQF45gyf9xF0T/PorGugx0/JrN3Wxr9vTJCozy47IapY0pDqlSCw/tz+eazozQ2dDF+ki+33DkHTy1YSR0dfXz0yWEOHsrD3d2GB+9bRNgonfLlVS288NYuSitaWLEoittvnKExFaxUqfjqlyS++uUUfp72vHz/Mlw0fL/rmju5753tVDd18Oh1c7hk2vC1jPSSWu77eAcG+np8cOfKYWsC9e3drPvoF1q6+/jg5uXE+g3/mv5VjsDS3UsE3PgAH1y3jAk+Q9uyj+SW8eA3u3C3teSjW1cOyyYqrGnmrg3bkA4qeX3dEiYGDZ+L3J9UyPNf7MPawoTX7ryEIK/h5SO6egZ4bsMeTmVWMDsukIfXzdU4R1QIwe6Dubz3+SF0JBLuuHEmi+eOG/pF6OmBzZuhpIReT1++6HdG5/PPuLVkDypraww2/4Bk9sjj9IQQJBwu4MtPjlBf20FwqCvX3Tyd6PHeWn/xhBBkJJWx7ftTpJwoUUtCzAph8aWxhMdqf57h0FTXQdKhfJIP5ZOTUo5iUKlmt0zwIWpyAJHxfnj6O/6fkp34N0GpVFGWX0dmYikZiSXkpVYyKFdgaKxPZJwfcXNCmTAzGOs/4fiVCiWnT5Swe0sKqSdLkehImDonhOVXxREcPryswnBQqQQnjhay8YsEKita8Atw4qbbZxEzwUer17ljZwZffZOAVDrIFZdP4qor40fcBSiUKjb/msKX35/EzNSQh+6cz+QJmoXmWtp7ee6DPaTlVrNoeigPrJ2tUb7mdF4Vj324CxC8fMdSxocMv/7sSyni6W/34WJrwfvrV+BqN9SplDa0cusn2xiQD/LhuhVEeA3NSuzNLsLMyJCpgd7/HkcQGRUt3K+9m7r2Lt6+agnTg4ZeCKdLarj7C3XUv+Hm5QQME/XXt3Vzz4e/UtnYwUOXz2D1tOEpngWVTTz03g46e/p58JrZGj23SiX4bvtpPvvpJA625jy9fhHhI9QC6hs7efX9vWTk1BAb6ckDt8/DxclKfecf5waYmIBcDgoF2Z4RPO25BPeoIG6/bbZWfQcKhZJ9v2Xx/TcnaGnqJiTMjSuvn8KEuLFp+9RWtbLr5xQO7Mikt3sAF3cb5l4SxZylkdg7/TnhuP5eKVlJZaQdLyYzsYS6SjXf3cLalNBYL8JivQmO8sQv1PW/tmP4p0M6IKc4u4b89Cry0irIT6uiv1cKgFegE1Hx/sRMDWDcBJ8/XWiurWrlwPYMDu7MpK2lBxt7cxasiGbhqlitWUBwppB8KJ8fvj1JZXkLHl52XLt2GlNnBo+q0wXqNNBHHx+morKF6ChP7rxjLp6eI8u6l1Y089r7+ygsbWRanD/33zYX6xFqgCfSynjpo30MyAa574ZZLJkZNuz3SqUSfLs7hY9/OYm3qw2v37UMNwerYe0+2XWKz3YnE+3vyhvrlg5b00wtreXuL3dgpK/HR7esIMBl6K7ol5Rcntl2kEl+Hny+dtW/xxHExsaK/UcTuPXrbRQ2tPDcyrksjxlaiCmsa+aOT39lQD7I69ctZnKQ1xCb3gEZj325hxO5FayaOo4HL50xbD2gvbufJz/eTUp+NYsmh/DQNbMwGYadBJBTXM+z7++msaWbq5eN58bVcRprDCqV4Nc9GXzybQIqpeC6NfFcPjsQfU+P4ecGGBqibGxib2IlX351jI7OfmbPCuHG66fhrAVdTy5XsO+3LH7ceJLmpm58/B257MpJTJ8dgp4GhdXhIJMOcvxgHvt/TSc7tVKdOx7vxcxFEUyeFYzZKLru2qCproPspDKyk8vITa2gseYMLdJAD59gFwLD3fEf54ZfqCvuPvbojuH5//8AuUxBdWkjpXl1FGfXUpxTQ0VRIyqluvDs7utAWKw34RN9CJ/kh439xUf9Z9HR1kvC/lyO7M6mMKcWHR0J46f4M295NBOnBmrdBwAglQ5yYHc2W35Ior6uA09vO668bgrTZ4doVe8qK2/ms8+PcjqlHGcnS25ZN5OpU0YuQvcPyPnmx0R+2p6Kubkxd6+bzawRjunrl/HexmPsPJyDv5c9z965GC+34dl6Hd39PPv5XhKzK5k3MZDHbpg77BrSOyDj6W/2cSSrjEviQnnsilnDrh87U/J5ZvNB3Gwt+fCW5bjaXOhchRB8fiyFd/adZLK/J+9cvRRTQ4N/lyNITU2lVyrj7u92klRWw51z47ll5lBqVmNHD+s//5WyxjYeXDadK6YOpYYpVSo+2H6Sr/enEublxKs3L8bZZmgeVKlS8cX2JL7YkYS7ozXP37qIYA2por5+Ge9+e5TfjuTi427HY7fOJ8RPc4NVU0s37356iBPJpXia6XDP8a+Jqc0danieSmhfn4wfNyexZWsKSqWKxYsiueqKOOy02MYPDio5tC+HnzclUV3Zir2DOZesjGXRsigsRpi4NBwaats59FsWh3dlUV/Tjr6+LtHxfkydE8rE6YGjDvvQFu3N3eSnV1GYWUVRVg2l+XXnCq76Bnp4+jviFeCEp78jHv6OuPs44OBq/R8b2vLfgmJQSWNtOzVlzVSVNFFV0khlcSM1Zc3n2EZmFsb4hbkSGOFBcKQHwVGeWPxFLKP21h5OHSnk+ME8slMqUKkE3gGOzF4cwcxFEdiO0cG0tnSz45c0dm1Pp7trgKAQFy67Op7J0wK12gHU1XXwzcYTHDqch6mpIVdeEc/K5TEjpoGEEBw9WcwHXx6hubWHRXPGcfsN07Ew13ztJmdV8sqn+2lp6+XKS2K56dJ4jQFfcm4Vz36+l+5eKfdcMZ1Vs4avI5bWtfLQZ79R09LJPSunceWsqGHXqw17EvniYArj/dx4+4alWPyBDq9Qqnhp5xE2J2ezOCKIF1bPw0BP999VIzifPipXKHnql/3szCxkWXQIz6yYjcEfCqd9UjmPfr+Ho7nlLJ8QymOrZmE0zEVxML2YZzceQF9Xh+euX8CUsOGlIdIKanj60z20dfezbnkc1ywar7FR7GR6Oa9+eoD2zj4uWxTNTZfFa9xJgJqe9t4rP1M/qMtj6T+yoC59qNF5cwMAWlt72PjdSXbtyUJPT5elSyK5/NKJWjkElUqQcqqULT8mk5lWiYGBHjPnhrJkRTSBwS5jShsJISjOrePY/lwS9ufS2tSNrp4OEbHeTJoRxMRpgTi6WGl9vtGgVKqoq2ihNK+OsoJ6KgobqCxupKPl952UvoEezh62uHja4uxhi6ObjZou6mKFvbMVZpbG/+frDyqViu6OfloaOmmu76S5rp3Gmg4aqtuor26lsab9AnqpvbMVXgFO+AQ74xPsgl+oG84eNn/Z6xRCUFvZStKxIk4dLaQgqwYhBK4etkybH8b0+ePw8htbN7EQgsy0SnZuS+dkQiFCJYibEsDqKyYRFuGu1XOvq+vg+x8S2X8gF319XVYsi+GKNXGYj6KBVVzWxIYvjpCZW4Oftz333jKHcRpYPgCd3f1s+C6B3cfy8HCx5vHbFjAuYPj+GKl8kA+3nOTH/el4u9jw/K2LCfAYmr4RQrAzKZ9XfjiMqbEBr6xdTEzA0OfQ3S/lse/3kpBfwapJYTy2ataQWSk9UhkP/LCbE8WV3DgtlnvnTznnQP+1jgDUb+JHh5L44FASkZ7OvHPVUuz/MKtApRJ8tO8Un+xPJtjNgTevX4Kb7dA8ZVVTBw9/vovi2haunBXFXcunDOvlu3oHePXbQxw8XUyYjxNP3jQfb5fht4S9/TI+/D6BXw9m42hrzj03zGRarGb2juyTzyh48jUiW0o57BJOvpU7V5cexUrep3FuAEBdfQfffXeSA4fy0NXVYdGCCC67dIJWKSOAirJmtv+SyqF9OUgHBvELcGLh0khmzg0dc1SvUqkozqvj5KECEo8UUFel7i309HUgdrI/MfF+hEV5/C0NTz2d/VSXNVN7pvmqvqqN+ir1gnl+DwGAoZE+Ng4W2JzpG7C2U/cNWFiZYG5lgpmFMSbmRpiaGWFsaoiRiQFGxgYYGOmNmdmjVKqQSweRDsgZ6JMz0CdjoE9Gb/cAvd0D9HT209PZT1d7L51tfXS09tDW3E17c/eQgTbGpoY4u9vg7GmHm7cdbj4OuHnb4+7r8JeJ/52PgX4Z2amVpCWWknKimIbaDgB8ApyInxXM5NkhePk5jNnZtLf1cmBPNnt2ZlJX0465uRHzl0RyyaoYnF20E78rr2jmx83JHD6Sj56eLksWR3LlmknYjKKf1djcxRffn2T/0TwszIxZe9Vkls6P0LiDVKkEu47m8uGmBHr75Vx1yXhuWDlJI4Mop7Se57/YT2VDO5fOjuDOy6YNWzzuGZDxyg+H2ZNSSGyAGy/euBB7y6HPvbCumfu++o3Gjh4eWjGDyycPlaGpau1g/cYdVLd28viymVw24UKBzH+VI/AODhHl+XlD3oS92UU8vmU/lsZGvHPVEsI9hhZRj+SW8cT3+wB47op5zA4fygKQDSp4Z+txNh/NxM/VjheuX0CA2/DUtAPJRbz67SEGZIOsvWQS1yyK1TjNLLuwjtc+P0h5TSuTIr24+7qZeLr8oalKCHj4YXj9dWQ6erwfegm/eU7ASCHn8vIELmvOwLSmckS10PqGTjb9cIr9B3JQqQTTpwVx2eoJv/cgjIK+PhmH9+Xy2/Z0ykua0DfQZfLUQOYsDCdmgveYaglnUVvVSnJCESnHi8lNr0ahUGJgqEdYlCcRE7wJj/XGP9hlTDnksUIIQVd7H0217TTXd9La2ElrUzftTd20t3TT0dpLV3svPZ0DaPO90NXTQU9fF319PXR0ddDRkZyTdRLizJQyhUrdSyBXnsvNjwQdHQnmViZqKqm9OTb2Ftg4WGDnaIH9mV2Mk5vN376TkUkHKcypJTu1gqyUCgqy1RIehkb6RIz3ZsLUACZOC7wogoBMNkjSyRIO7snhdFIpKqUgNNyNxcuimTYrGEMtggMhBBmZVfy8JYXk02UYGemzdEkUl186YVQH0NHZx/e/JLNtVyYSCaxaGsM1l07CbIT+g/zSRt7+6jB5pQ1EBLnywNo5+HoMX3Dul8r5eGsimw+k42BtzpNr5zEh1HNY27SSWp76eh/NnT2sWzyJGxdMGCIrIYRgy6kcXt12FCtTI964bgmR3kN3IAmFFTy0eQ+6OhLeunIJE32HMrL+VY7AyMVd3LnhU55fOhejP0TrhQ0t3L1xB43dvTyyeAZrJg31mrVtXTz4zS7yapq4bHI4D1wyfdhU0YncCp7duJ+uPim3Lonj2rmxw6aA2rr6eOO7IxxKKcbXzZZHrptDhP/wbCGFQskv+zL5/OdEpHIFq+dHcsOqSViYGV/gBFi8GI4dAyGolJjyWehijjsEY2Gkx5rL4lm5KEqjwNVZtLb28Mu2VHb+lkF/v5xxYW6sXBHL5Hh/rRZzIQQlRY3s353F4f159HQPYGVlwtRZwcycE0pouLtWOds/4mx0mZlcTnpSGVVlalVRQyN9giPcCY30ICTCg8Aw17+k6DxWKJUqersG6DnTO9DbLVX3D/TLGeiXIZeqm8MG5QoGz0wmU6lUqJQqhPhd409HVwddXR109XXR19c910tgaKSPsakhxiYGmJgZYWphhJmFMeZWJpiaG/1Xegg623spzKklP6uGvIwqinPrGBxUoqMjwTfImaiJPkTH+RES6XFRTYUKhZKM1EqOHszjxLEi+vtk2NqZM2fBOOYvjtBaDkUmG+TwkQK2bkulrLwZKysTViyPYdnSaCxGuVY6u/rZ/GsqW3elI5MrWDAzlBuunIyjvea+iJb2Hj7+4QR7EvKxsTThjqumsWBaiEYnfDyznNc3HqKxrYdVsyK449IpmA2nbSZX8OGOk3x/OB1XO0teuH4h4T5DA7XufinP/nSQA1klxAd58tJVC7Axu7CGp1Sp+OhQEh8dTibI2Z53r16K2x8Kx50DUnQlEiyMjf49jsAzKFiYXLGOYCcH3rtsCW7Wf3jR/VIe/WkvCUUVLBgXwDMr52D+hy7jQYWS93af5JsjaXg72PDy1QsIcR9a+O3o6eeVHw9zIL2EEE9Hnrp6rsbdwfGMMl7beJim9h6WTg1l/aVTsdbQhNbe2cdnPyWy43A2ZiaGXLd8Apcd+A69De/DbbfBhg3Q36/uIygtBT8/CsfP5Itt6SSnVWBhbsSlS2NYuSQa81G6O/v6ZOzZl822bak0NHZha2vGksWRLFoYgb2W/PDBQSUpSWUc2pdD0okS5HIFtnbmTJkRyJTpQYyL8EBX7+IWsM72XnLSqshJqyQvo4ry4t+Hybt52REU5oZ/qAt+Qc74BDph/D/Z6T+Fnu4ByosaKS2opzi/nqKcWhrr1KkeXT0d/IKcCYv2YlyMJ2FRnhftjOUyBRlplZw4VsjJY0X0dA9gYmrIlOmBzF4wjogoT60L+bW17ezclcm+fdl090jx9rJn1cpYZs8KGXUH0drey+ZfU9i+JwuZfJDZU4O5fk08HiNInPT2y/huRwqbd6WhUgkuXxzNdcsnYqrh2qtv6eKtTUdJyCjD28WGR6+fS2TA8MFgWkktz393gOrmTi6dFs7dK6YOWzdMKq7miU37aO/p587Fk7luRsyQwKulu5eHNu/ldHkNy2NCeHLZ7CHBcUFjM3du3kmQkz0frFn273EEsbGx4o1NP/Hg1r1IJPDK8vnMCrxQ80OlEnx5PJX39p/EydKc1y5fSOQwnciniqp48od9tPcMsG7eRNbOGY++7tBo+UBaMa/8eJiefhnXzI3h5kWTht1F9EvlfLEjiU370jE20Ofm5XFcOjtCYwReVt3CRxuPEf/VW6wsO0XZyqvw/PFr9EaQg84vbuDbn06ReLoMY2N9ls6L4LJlsTiMsqgrlSpOp5Tz6/Y0UlIr0NGRMHGCL4sXRTBhvI/WKZ/+PhlJJ0tIOFJAyqky5HIF5hbGTIz3Y9IUf2In+mrV5q8Jfb1SivPqKMiuoSi3juLcOjra1EPkJRIJLu42eAc44uXniJe/I54+9ji72fytaaV/IuSyQeqq26kub6aipInK0mbKixppbug8Z2PvZElgmCuBYW4ER7jjF+SMkfHIO82R0NXZz+lTpZw6UUJqchkD/XJMTA2Jm+zPtFnBxE701VqJViYb5MTJEnbtySQzsxpdXR0mx/uzYlkM4eGjF5Br6tr5YVsK+w7noVSpmD01iGsui8PLXfPuQyobZOv+TL799TTdvVLmTg7iljVTNHYHD8gG+XbXab7bk4pEImHtsklcOT9m2PRwd5+U9349wdYTObjaWvDE1XOHbWTtlw3y3q4TbDqeiZeDNa9cvXDYIPVYYTmPb9nPgHyQJ5bNYsUfKPRCCH7JyOO53YexMjHivcuWEuXu8u9yBKmpqVS3d3LPz7vIb2zm+knR3DdnCgZ/WMQzq+p5aPMeGrt6WDdjArfMmjhkoe/qk/LS1sPsSS8iyNWBZ9fMJdhtKOuhs3eAt7cmsPNUPq62Fjx0+Uymjhu+q7Givo23Nx0lKbcKDydr7rxsKtOihmneUiph3Tr48kv2TlrCc+7TcXWy5oZVk5g3JXhE2erSimY2bT3NkeOFIJEwc0ogl10SS5AWQ0bq6jvYvSeLvfty6Ojow9ralDmzQpg3Nwxf3+EpscNhYEBOanI5p44XkXSylJ7uAXR1dQgNd2P8JD9iJ/jg4+94USmksxBC0NrcTVlhA2WFDZQXN1Fe3Ehjbce5nYOung4u7ja4etrh6mGDi7stzm7WOLlaY+dkedEaSf/XIZMO0tzQSWNdBw21HdRXt1FX3UZtVRtNdR3ndJN0dHVw87TFO8AJnwBHfIOc8QtyvqiBROdDqVBRVFBPanIZKcnlFOXXIQTY2JkRNyWA+KkBRMZ4af3+CyHIy6/jwIFcDh8toK9PhpOTJYsWRLBg/rhRmXBCCDJyavhpRyqJp8sw0Ndl4eww1qwYP6I2kEw+yPZDOWz89TRtnX1MjPDiljVTCPIZ/rugVKnYc7KAj345QUtnH/MmBXLnZdNwtBn6/IQQ7DpdwDu/HKezd4CrZkdz65I4jIfZyZwuqeGZzQeobeviyqmR3L1kCsYGF9oNyAd5fXcCm5OzCXS25/U1C/F1uNC59crkPLf7EDuyC4n38eD1lQuxNTX5d9UIzmcNyRQKXt2XwKbULEKdHXhj1SK8bS/8wHukMl7acYQdGQWEujrw0qXz8XMcWug5lF3Ki1sO0dE3wLUzYrh1/qQhHwKotYpe/uEwFY3tTBvnw32rp+MxTHegEIKTWRW8tzmByoZ2IgJcufPSqYT7n9mZKBRwww3w3Xfw5JOIZ57hRHo5X/x8iuLKZlwdrbhm2XgWTAvRyE8GtSzuL7+l8dv+HPoH5IQGubBycRQz4gM1aqSfhUKhJPl0OXv3Z5OcXIZCocLby55ZM4OZOTMElzFoyisVKvJzazmdVMrpU2WUlzQBYGllQmSMF5ExnkREeeH2F1EZpQNyqstbqC5voaaihdqqNmorW2mobUcuU5yzk0gk2NiZYe9siZ2DJXYO5tjam6uLsbZqjR9La1MsrIwvajDP3wG5bJDuzgE6O/robOulvbWX9tYe2lt6aG3upqWxi5bGLjrb+y44zsjYABd3G9y87HD3ssPNyw5PXwfcvGz/EoaWSiWoLG8mM62KzLRKsjKq6O+ToaMjITDYhfFxvkyI88M/0HlMzr+isoXDRwo4fDiPhsYuDA31mDolkAXzxhEZ6TnquQakcvYfzWfrrgwqqlqxtDBmxaIoli+MxGaEfol+qZxfD2Tzw2+ptHX2ER3iztpL4zWKxAkhSMyu4IOfT1Ba20qojxP3XDFdY02wsKaZ1zYfIbOsnjAvJx67cjZB7kODzK4+KW/tPM625Fw87Kx45vK5w+oFZVTV8/jP+6hq6+T6qTHcNTcewz9cszl1jTywdQ81HV3cMX0St079vQD9r3IE0TExIj0t7YLbDhSU8sTOA8gVCh6eN43LY4YWiffnlvDcr4folcq5ffYkbpgWM+zu4K2dCWxLzsPVxoLHVs1iasjQfoJBhZLvD6fz+e5kBpUqrpgZydqFE4cdeqNQqth+LIfPtyfR1tXHlAgfbl06noAn7lfXAJ5/Hp544py9EILjqWV8vTWJwvIm7G3MuHxRDMvmhGM6wra9t0/G7oM5bNudQV1DJ1aWJiyaE8aSueG4aUHF6+rq52hCIYcO5ZObpxaDCwxwYvq0IKZODcRVSzrfWbS19pCeUkFGagUZqZW0nuH329iaERruTli4O6Hhbvj6O14UE0kTVCoVbc09NNS201jXSVN9By1N3bQ0dNLa3E1rUzcDGpQ/TUwNMbMwxszcSC0MZ2aIyZnCrtGZQq+Bgd55qqM66OnpqhlDOhJ0JBIEnFMfvZA5pEAuVyCXKpDJBpEODKoppP0y+npl9PVK6e2W0tM1gHRg+OdnamaEneMZFpGjJY4uVji4WOHkomYT2diZ/aVsIrlcQXFhA3nZNeRm15CXVUNPj1qSwsXVmsgYL6LHexM13nvUYu35EEJQUdlCwvEijiUUUVXVio6OhOgoL2bPCmHqlIBRhzKBele8c182+4/m0dcvx9/bgRWLo5g7fWT2UUd3P7/szWDLvky6e6XEhHlww8pJRIdq1j5KL6rl419Okllch5uDJbetmsLs8QHDOqnWrj4+2pnIr4m5WJoac+eyySyLDxtiK4Tgt9QC3tiRQHe/lGumR3PbgrhhdwHv7U9kY2I6LlYWvLB63hCdNYVKxafHT/NhQjL2Zqa8tnIB4z0vdCb/Kkdg5uklDh4/ziSPC9+Ipu5eHt2+j8Tyaqb4evLCJXNxsrhwq9bW28+LOw6zL6eEIGd7nlkxh3HuQ1MpKaU1vPDzYSqa25kZ5suDy6bhZmc1xK6ls5cNO07yW1I+lqbGrFs0kVVTw4fNEQ7IBvlxfzo//pbEI3u/YGZ1Di2PPoX9S88O+zqFECRnVfHdjtOk59VgamzAsjnhrF4QhZOdZqaDSiVIyahkx75MEk+XoVQJosZ5sHhOGNPiAzQKYZ2PxqYujh4r5FhCIUVFDQD4eNszOd6f+Dh//P2dxhTxCSGoq+0gK62SnMxqcrKqaW7qBsDQUA//IGeCQlwJDHYmIMgZZ1frv5Ue2dcrpaOtl47WXjrb++hs76O7S83j7+keoLdHSl+PlIE+Gf19Mgb65WoZ6YFBrailI0FHR3LOqRibGGBsqnY2Z52PuaUxlmf6GCytTbG2McXazhwbO7M/lb8fDSqVoKa6jeKCeooK6inKr6e0uBHFmWY1Nw8bwiI8GBfhTmS0Fw5jpI4qlSry8utIPFXCyZMl1NV3IJFA+Dh3pk8LYtq0oBGj97Po6ZVy+Hghuw7mUFjSiIG+LjMmB7JsQQRhwa4jXjeVdW1s3pXOnoR85IMKpsT6cu2yCYRpaAgDyCiq5fPtSaTkV2NnZcqNSyeybPo4jd/x7w6l8c3+VOQKJZfPiGTdoonDDsIqqmvhlW1HSCurY5ynE09eOpsg16G7hcSSKp779RA17V1cPjGc+xdOxfQP81bKW9t55Nd9ZNc1sjgskKcWzcLS+MLHFEKgo/Mfnln8d8LC00s43n43ayfEcO/UeAzP6yRWCcGmlCzePHgcPR1dHpo3ldVRQwWgDuaV8sL2w7T19nPFpAjunBc/LLPo26NpfHrgNEqVimtnxHDTnPHDDr3Jr2rina3HSS2uwc3ektuWxDM/dpiWeKkUxcpV6O3ZzYb4VXzrH8+0KF9uWDqB0GHoY+fOX9rID7+lcjS5GIBp4/1ZvSCKyFEu/Ja2HnYfzGXPoRzqG7swMTZgxuRA5s8MISJUO/pnY2Mnx08UczKxhNw89fxbWxszJk7wYcIEH6KjvTAbZkToaGhu6iI/p5aCvDoKcusoLWlkUK5unDIzN8LX3xFff0d8/Bzx8XPAw8tOK4753wkh1DMG5DIFg3IlSoUShUKFSqVCqAQqIZBwVoZa3Vugq6eL3hk5aoMzu4j/djfzQL+cyooWykuaKCttory0ibKSJqQD6oY7I2N9/AOdCQ51JSTMjZBxblhfxCzozs5+UtMqSD5dRkpKOd09UvT0dIiK9GRyfABTJvuPyvsHdQozJaOSfUfzOZFcilyuwNvTjsVzxrFgVuiIUhBKlYqkzEp+2ZdBUmYlBvq6zJ8awhWLYzTqAgkhSMmv5qudyaQV1mJjYcI1i8azalY4RsOkiwcVSradzOXz3Um0dvczK9KPu1ZMwcNh6C66vbefD/eeYktiDhYmhty1eAorJw7dLbT09PH6rgR2ZRXiZWfNMyvmMN7nwghfoVLxVWIa7x89hbGBPk8vmsWisMALbHpkMp4/eJRQRweuHx/973EE0TExYvFLr/JDZg7+dra8tmge45wvjOqr2jt5YscBUqpqmeTtzrNL5uBpY3WBTY9Uxrv7TvJjcha2ZiY8sHAaSyKDhuoVdfbwzs4T7E4vxM7chDsWxbN8QuiwjR8n8yp5/9cTlNS14udqx61L4pgZcaZIPDAAK1bAvn3w4Yd0X3sDP+5P56eDGXT3yYgNdueaReOZFOapcaFoaOlm674MdhzOpadPio+7HSvmRjB/arBG2WtQR3vZ+bXsPpjDsVPFDAwMYm9nzqwpgcyeGkygn3ZSz11d/SQll5GUXEZqWgV9Z/LDIcGuxMZ4ER3lRVCQ80WlegYHlVSWN1Nc0EBJcSNlxY1UlDUjO5Pv19GR4OxqjaeXHR5edrh52OLuYYuruw0W/wCpiP80hBB0tPdRW91GbXUbNdXtVFe2Ul3ZQmPD72M8TUwM8PF3xM/fCb9AJwKCnPHwsrsojSa5XEFubi3pGVWkplVQUtqIEGBlZcL4WG/iJvkzPtZbK1aZUqkip6COw8cLOXKyiK7uASzMjZg9NZiFs8NGvWbbu/rZdTSX7YeyqW/qws7alBVzI1g2JwIbDXpaSpWKo2mlbNydQn5FE/ZWply1MJaVM8KH3UkrlCp2ny7gs11J1LV1E+3vyp3LphDhO3SHIRtUsOl4Jp8fOE2/XM6l8eHcsSB+yJx1hVLFj0lZvH8gEZlCyU3TY7l5xoQhtYC8hiae3HmQ/IZm5gb58dTiWdibXeisT1RU8djeAzT19HL3lDjumDzpP+sIJBLJM8DNwNnh9Y8JIXYPY7cAeBfQRT3P+JXRzn22WHysrILH9h6gta+fmyfGcufkSUN2Bz+l5fDGwePIFUpumzaRtfExQ7SIcmsbeX77YXJrm4jydOGRJdMJcxuaLsqqbOCN7cfIqmzA18mWuxZPZkaoz5CLUaUS7E8r4pPfkqhq7iDQzZ5bZoUz/Yl7kRw5Ap99doFERN+AnK1HsvhxfzotnX34udtx5bwY5k0K1FgklsoG2X+igG0HsiiqaMbIUI858UEsnRlGWMDIGkFS2SAnkko5mFDA6YwKFAoVLk6WTI8LYHp8AEH+2hX6FAol+QX1nD5dTlp6BcUl6i+9sbEB48LciAj3IDzcnQB/p1GL1pqgVKqor+2gvKyJqvIWKstbqK5qpa6m/VzKAsDUzBAXNxucnK1wdrHC0ckSRydL7B0tsHewwMzc6F/nKIQQdHX209rcQ3NTF81N3TTWd9LY0ElDQyf1te3nInwAAwM93Dxt8fCwxcvXAW8fe7x9HXB0trpoVpdMNkhBYT1Z2TVkZVeTl6duRNPV1SEk2IXYGG8mjPfROpWoUKrIzqsl4VQxx04V09beh6GBHvETfJk3I4QJUd4jXktKlYrUnGp+O5LDsdOlKJQqIoPdWDkvghkTNDdS9g3I+e1EHj/uT6eupQt3RyuuWhDLkinDEzUGlUr2nC7k8z3J1LZ0EezhwO1L44kPHTqyU6lSsSutkA/3nKK+o5upwd7cd8lUfJ2G7kaSSqt55bejlDS1Ee/nweOXzMLL/sJdRa9MzvtHEtl4OhNbU2MeXziTBSEBF9h0S6W8evQ4m7Ny8bGx5tVF84lydf7P1wjOOIJeIcQbI9joAsXAXKAWSAGuEELkj3Tu81lD3VIpLx1OYEtOHj421jw/fw4TPS7cPjX19PLy3qPszS/By9aaJxbOZIrvhS3fKpXg1/Q83tl3krbefpZFh3DXvHicLC+sMQghOJhdynu7TlDV0kmklzN3Lp7MeL+hRSaFUsXelEK+23aUhza+SWRjBdlPvUzYkw8OSwuVDyrYn1zE93tTKattw8bChBUzxrFyZgT21pq3zwVljfx6MJuDJwsZkA3i4WLNoumhzJ8SjOMItQSA7p4BjieVcuREIWnZ1SiVKuxtzZgy0Z/JE32JDHMfkbF0wbm6B8jIrCIzs5rMrCqqqtX6QoaGegQHuRAa4kpIiCvBQS5YWY1N4fSPUCpUNNR3UFfTTm1NO3W17dTXdtDY0ElzYxeDf9DmMTTUw9beHFtbM2zszLG2NsXK2gRLaxMsLEywsDTGwlJdJDYzM8LYxOA/7jhUKsFAv4zeHik93VK6ewbo6Rqgq7Ofrs5+OjrUtYy2NjWDqK21d9jX6ehshZOzFa7uNri4WuPqboObhw2OThe/4J9FS2sPBQV15OXXk5dfR3FxAwqFCokEfH0ciIr0JDLSk4hwd62KvaBm/KRmVnEyuZSTp8vo6hnAwECPidHezJoaRFysDyaj1Eaq69vZk5DP3oR8mtp6sDAzYuG0EJbNDteY/gGoaepgy+EsdiTk0jcgZ5yfM1fNj2F6jN+QHT+oO4J3nsrjmwOp1Ld1E+TuwLrFk5gePjQgFEJwJLeMDXsSKW1oI9jNgXuXTmVSwNDegYqWdt7cc5wjBeW4WVvw4OLpzA65kG4uhGB3XjGv7j9GS08fl8WM4/45U7AwunBHcaC4lGcOHKalr5+146O5e0r8uSaz/6uOIA54Rggx/8z/jwIIIV7WdAxAaESEyMvKuuC24xVVPLXvIDVd3aweF8pDM6ZiY3Jh3vB4aSUv7DlCVXsnc4J8eWjuNDz+kC7qlcr4+Egy353MRFdHwrWTo7lxeuzQ+oFSya/JeXyyP5nmrl7G+7lz+4JJxPxxTmhXF2LBQkTKad5ZuY7vbP1xsbXg6tnRLIsPG5ZLfDY/+cP+dBKzK9DR0WFGtB+rZoUTE6S5kaZfKufwqSJ2Hc0jq7AOiQSiQz2YPyWI6RP8MR8lj9/TKyUxpYyEUyWkZFQilQ1ibKxPbIQXcbE+TIzxxt5We0nhjo4+cnJrycmtITe3lpLSpnO8dmdnK4ICnQkMcCIgwAk/P8eLqjMMB5VK0N7WS3NTl5ot1NxNa0sPbS09tLX10tHeS2dHP71n2C/DQUdHopaAMDHAyMgAI2P9CxlD+nro6+ugq6eLrq4OOpLzWUMCIVDXDFQqlEoVCoUKxaCSwUElcrmaNSSTKpBK5Qz0DzLQL6NfA5PpLMwtjLG2McXGxhQbOzPs7C2wszfHzt4cBydLHBwtsbI2+cscWFdXP8UlTZSUNFJU3EBBYQOtrWrml76+LgH+Towb5074ODfCQt0wG8P84rqGDpLSKkhKLScjpxr5oBIzU0MmxfowbZI/E2O8MR5BpRfU3fmHk4rZd7yAvNIGdCQSxod7smRmGFNjfTUGMAqlilPZFWw5nMWpnEp0dXWYHevPmnnRhPkOX6fr6pOyJSGbH45k0N7TzzhvZ25aOIEpYUMn9AkhSMiv4KO9p8ivbcbT3pr1C+OYGzGUYdTS08fHh5P5+XQ2Rvr63DxjPNdOjh6SBipsbOHFvUdJqaolxNmBpxfNIsLtwuda19XNcwePcKi0nCB7O15eOHdIyvy/5QiuB7qBVOB+IUTHH2xWAwuEEDed+f8aYKIQYv0w51sHrAMwcHeLefTbr7k/bgrmhr8v0AODg7x/MokvU9IxNdDngelTuCw87ALPLlco+OpUOp8cP82gSsV1E6O4ZeqEIQt9bXsX7+4/ye6sIqxMjLhp+niuiIsc0r4tlSv4+VQ2Xx5Koa2nn/F+7qybN4EJfu5IOjpg/nzIzITNm1EtX8HxnHK+2p9CdnkDFiaGrJoazuUzInGwGj7ir23uZOvhLHYcz6W7T4a7oxXLp49j8ZRQjTOUAWobO9l3PJ+9xwuoa+pEX0+XiZFezIkLZHKM74g0VFBv+dOyq0lMKeNUajktZxYAb087xkd6MT7Si/BQ11G/rOdjYEBOcUkjBQX1FBTWU1TUSHNL97n7nZ2t8PN1wNfHAW9ve3y8HXBysvzb5gnI5Qq6u/rp7hqgu2uAnu4Benqk9PVK6etTUzqlA3IGBgYZ6Jcjlw0ikynOLeaKQeW5RV4IgUqlHlovAZBI0NFR/+ie0RzSN9DFwEDtRAwM9TAy0sfoLHPIxAATU0NMz7CHzM2NMbMwwsJCzSCysDT+Sym250OhUFJX10FFZQvlFS2UlTVTVtZ8wWfj4mJFUKALQUHOhAa74uvrMKYmvZ5eKZm5NaRkVpKSUUndme5mV2cr4sf7Ej/el4hQt1FfY2d3PwkppRw6VURabg0qIfDzsGfBtGDmTg7GfoTCc0NrNzuP57LjeC7N7b3YWZmyYkY4K2aMw07D96+6uYMfjmSyPTEXqVxBXIgnN8wfT4y/27Ap4aN5ZXyyP5mC2mZcbSy4Zd4klsQObQztHpDy9fF0vj2ZjlyhYPX4cdwxJw7bP+gItfT28d7hRLZk5GJpbMQ9syZzafSFa5pMoeDLlHQ+SExGIoG7JsdxfWzUBdT4lv4+JEiwNzX96x2BRCI5CAzXxvo4kAS0AgJ4HnAWQtz4h+O1dgTnwyUwUBjfsQ4HUzOenDaThX7+F3woxS2tPHPgCKdragl1dOCpOTOIcbuw4aOpp5d3Dp9kW2Y+1ibG3D5tIpfHhg/pTM6va+LtfSdJLKnCwcKUdTMmsmp86JA6w4B8kC2JOXx9JJWW7j7ibU15/ft3MCsvQ7JlCyxdeoF9Vlk9Gw+mcSSrFF2JDrOj/bl8RgQRPsPn96XyQQ6nlLDtaDZZJfXo6uowJcKbJVNCmRyuWRFUCEFBWSMHEos4lFhEa0cvBvq6TAj3ZMbEACZH+2A5AuPi7DnKq1o5nVHB6fQKsvPqGFQo0dPTISTAmehwDyLDPAgJdNaKmno+Ojr6KClVR50lpU2UlTVT39DB2cvSwEAPD3cbPD3t8HC3xd3dBjdXG1xdrTH+G6mU/0b09kqpreugrq6d6uo2qmvUv2tq287VW3R0JLi726odsq8jAf6O+Ps5jarp/0f09cvIKagjI6eGjOxqisvVu0FjI30iw9yZEO3NxGhvrfpbWtp7OZ5aytHkEjLya1CqBK6OVsydHMSc+EB83DWPnZTKBjmaXsquE/mczq8CYGKoJytmhjM1YnhZFZVKkFRYxY9HMjmZV4Gujg4LJwRx9eyYYQfHDyqV7E0v4stDKZQ1teNuZ8lNcyawJDZ4SJ9Sn0zO94mZfJWQSrdUxoJxAdw1Lx5Puwvfh375IF+fSuPzk6nIlUqumhDJ7dMmXkAJFUJwtLyCFw4do6qjk3kBfjwxezouFr+ng1VC8GNuNq8lHme6pzfvLVzy32MNSSQSL+A3IUTYH26/qNRQbGys+OK3nTx++AD5rS1M9fDk6emz8LH+XURKCMGugmJePpJAU28vi4MCeHDGFNwsL+Q+59Y38fqB4yRX1uBubcndM+NZFBaIzh8W45TyWt47cJL0ynqcLM24afoEVsaGDtnCyQYV7N2bQPhN1+Lc1sQr19zFuFuuZ0lM8BBbgNqWTn46lsWviXn0DsgIcLPn0mnhLBwfpHGATUV9GzsTctmdWEB7dz9W5sbMnRDIwvhgQn2cNKYGVCpBTnEdR5JKOHa6hKa2HnR1JIQHuTI11o/J0T64j9CGfxZS2SDZ+bWkZVWTkVNNcZn6S66np0OgnxPhIW6MC3YlLMgFqzFOOwP1zqGyqpXKyhYqK1upqm6jqrqVpqbuC+xsbExxcbbGyckSZydLnJwscXSwxMHBAnt78/861fQ/jYEBOc3N3TQ3d9PU3E1jYxcNjZ00NHZSX99Jd/fAOVsdHQnOTlZ4eNji6WmHl6cdPt72eHjYXpQcR0tbD7kF9WQX1JKdV0tZZcu5a+JssBAd7klooMuoxAEhBGXVrZxML+d4ain5pY0AeDhbM2OiPzMnBhDgrXn2gVKlIqOolj2JBRxOKaFPKsfZzoIlU0JZMiUUZw11s87eAXYm5bMlIZualk5sLUxYNTWcVVPHDTsfoFcqY1tSHhuPpdPY2YOfsy03zZnAvIiAITuAXqmMH5Ky+Pp4Gp39UmYE+7B+ThzBLhf2DciVSn5Jz+WDY0m09vUzN9iP+2dPwesPagnFLa28dDiBE5VV+NhY8+ScmUz1vrDumd3UyFNHD5Hd1MgkV3demDUHXxvb/3hqyFkI0XDm73tRR/pr/mCjh7pYPBuoQ10svlIIkTfSuc8WixUqFd/nZPLmqZPIFApuiIzmjvGTLkgX9csH+TQ5hc9Pp6ESgutjo7h10vgLCixCCI6XVvLWoZMUNrUQ4GDHXTPjmB04tFhzqrSaDw6dIrOqAXtzU66fGsOlE8b93uBRXw+zZyOqqkh560Pe6NWnsK4ZGzMTLpsczmXx4dhZDOVj90vl7E4p5OdjWZTUtWJiqM+C8UGsnBJGsMfwNDmFQklSbhW7TuZzPKMMuUKJq70l8yYFMW9iIL5umiMlIQSF5U0kpJRyIq2Msmr1oHh3Z2viIr2Ji/ImMtgVw2E4039Eb586+svKqyE7r5bC0t+bkFydrAgOdCYkwJlgf2f8vO0veoGWSgepq2s/E9V2UFffoWbHNHTS2tpzrv5wFhbmRtjaqgvEtjam2NiaYW1tirWVCZaWJlhaGmNhYYyFuTFGRvr/51hFQgj6++X09AzQ3S2ls6ufri510bijs19dNG7vpa2tl9bWXvr6ZRccr6urg4O9OS4u1rg4W+HsYo2bqzWurta4ulhftP5Sf7+c4vImCoobKChuIK+44Vzq0NBAj5BAFyJCXYkIdSck0Fmr9GHfgJy03GpOZVSQlFlBU5v6fCF+TkyJ8WXaeD+83Ww1fkZCCPLKG9mfXMTB00W0dvZhamTArPH+LIoPISrQbdhCuRCCtJJatp3I5VBGCXKFkggfZy6bHsnsKL9h6wy1bV38cDyTbcm59ErlxPq6ccOsWCYHeQ15jM6+Ab5LzOD7xEy6pTKmBXpz2+xJhP+hiVWhUrEzu4APjiVR29lNrIcr982ZQrT7hTTU5t5e3j1xip+z8zAzMODOyZO4Ojrigp1Ha38/b546wU95OdiamPDYlBksC1TT4v8bNYKNQCTq1FAlcIsQokEikbigpokuOmO3CHgHNX30SyHEi6OdOzI6WmSm/z7CsaW/j9cTj7MlPw87ExPunzSZ1SEX5tHqu3t4+/hJfs0twNLIiFsnjefq6Atz/ioh2J1bxPtHT1HV3kmIswPrp09iZoDPEIeQXF7DJ4dPc7q8BgtjQ66Mi+Qadzusli6GxkbYtQumTVPbltTw3bF0EvIr0NPVYX5kAGumRBLuOTR6F0KQXd7A1pM5HEgtRjqowN/VjqVxoSwaH6SxLtDTJ+VIWin7kwtJzVfnTr1dbJgV68/M2AD83e1GXOjqm7tITC8nMaOc9Lwa5INKDPT1iAx2ZUK4J7HjPPHzsNeKdSKTDVJY2kR+UT25hfUUFDfQ2q5WD9XVkeDlYYe/jwP+Po74+zjg62U/qpT2aFAolDS39NDU1EVLSzfNzT20tvXQ2qouELd39NHR0XcB5fR86OnpYGZmhKmJOk9vYmqAsZGBOod/JpdvYKiPgYEuBvp66Ovroquncy7/r6P+kl0wmOZs3UB5vszEeQVj6Zmag1Q6yIBUzkC/nL5+ubo+0Sejt1c6xLmdhb6+LtbWptjZmmFra4adnTl2tuY4OJhjb2+Bo6MFdrbmf7q+0tnVT2lFMyUVzZSUN1Nc1kRNXfu51J2zoyUhAc6EBLoQGuRCgI+DVrUMhVJFYVkjKTnVpORUkVNcj1KpwsTYgPFhHsRH+xAX5Y3dCGw5lUqQV97A4dQSDqeU0NDWjb6eLnHjvJg/KYipkT4aU5UN7d3sSipgR1IetS1dmBkbsnhiMCsmhw0rMy+EILm4mh9OZHE0rwxdiQ5zI/25Zno0YR5Ds+P1nd18czydX1JyGBhUMDvEl3UzJwyhpStUKnbnFvHBsaRza849M+OZ6nchDbVHJuOz5FS+Sk1HoVRxVVQEd0yeiLXx72ldmULBN1kZbEhJQqpQcH1EFOsnxGFxXmD8r5KYMPbyEBt2bOPa0MgLPGFWUyMvJBwhraGeQFs7Hpk8jWmeF76h+U3NvHHsJAkVlTiamXFH/ARWh4ddUBtQqFTsyC7go4Rkajq6CHay59apE5kb7DckZZRV3cAXx1IoSEzhqx8/wk4+QNtPv+C6eMGQ513Z3MGPJzLZfjqfPpmcYDcHLo0bx6KYoGG7lXv6pexNKWLHqTzyqprQ09EhLtSTxRODmTbOd1gZbFAPyjmSWsKhlGIyiupQCYGrvSXTo/2YHu3LOD+XEVVNpbJB0vNrOJ1VRUpOFRW1ahqopbkRUcHuRIW4ER3qjrebndZ0xJa2HgqKGygua6aorJGSsibaO/vP3e9gZ463px0+HnZ4edjh5WGLp6vtqMN3xgIhBL29MjUN80x03d0tpadngJ5eKb296sW3r0/GwICc/n45Uumg+kc2iPzMIJq/AgYGehgY6GJoqI+xsdrhmBirWUomJoaYmxlhZqYuHFuYnykaW5pgZWmClbUJpiaGf+kOpqdXSmVNG5XVrVTWtFFR1Up5VcuQzyjA15FAX0cC/JwI9nfSOvWnUKoormgms6CGtLwasgrr6D+jpxTo7cD4cE8mhnsRHuSqccIfqCnW6UW1HEsvIyG9lJbOPvR0dZgY6sns8QFMj/bVyI7rHZBxKKOUXckFpJXUIATEBrhzSXwIs6P8hxWY7OwbYEdKPj8n5lDV0oG1mTGr48ZxaXw4TlZDGXS5tY18cyKdfTnFSJCwKCKQtdNjh4hcypVKdmYX8OmJFKraOwl0tGP99DjmBF2YheiXD7IxPZPPklPplEpZEhzIvVPj8bS2OmejEoJdJUW8kXiCmu4uZnr58PjU6RekyvsH5SiFwMLwXzSYxtbfV5g/cBs+VjY8Pmk6szx+j9iFEOwpLea1k8ep7u4izs2DhyZPJcLxQk+cVF3DWwknSa9rwM3SgtvjJrIi7MLizqBSyc6cQj45fpqq9k587GxYGx/L0vCgC4vKZWUopk9nsLOLmy5fR6aDG1MCvLg6PorJ/kOVE/ukcn5LK+Cnk9mUNLRiamjAwuhAVk4KI9R9+DRQWX0rvyUXsDu5gJYu9bZ3ZoQv88cHMSHIfdgZCgDt3f0cSy8lIb2M0/nVDCqUWJoZET/Om8kR3kwa54XFKLTNlvYeUnOqScurIS2vmqYzaQBzUyPCA10ID3JlXIALwb6OWqWSzqKto5eS8mbKK1soq2yhorqVqpp2BhW/L7Z2Nma4u9rg5mKFm4s1bs7WuDhZ4eJkOSbG0l8FleqMxMSgAqVCTQ1VKlWohECoxAUTyiQ6EnR0dNA9KzOhq6OeVKav+19JQ/X2yahv7KS+sZPahk5q6zuore+gpq6djq7fF3xDAz28PezUjtnTDj9vB3y97bEagaX2R/QNyCkobSC7qJ6sojryiuvpPzMv2sPZmuhQd2LCPIgJdR/1vK2dfSTlVHIiq5zk3Cr6pHKMDfWJG+fF9GhfpkT4aFz8pXIFJ3Mr2JdWxPGccmSDStztrVg8MZjFE4NxtRuql6RSCVLLatmalMvB7DPpIi9nLosPZ35UwBCiyKBSyeH8MjaezCCjqh5TQwNWjw/j6slRuFhdWI/olw+yJT2Hr06l09DdQ4izA7dNncjsIN8LgsyBwUE2ZWTzaXIqbf39zPDx5p6pcYQ5XSiLfby6ktcTT5Db3ESwnT2PTJnGVA+v31+LEPxaks9rp48zz8uP56fO/fc4gtjYWPHqL5t58dRRyrs6iHfx4LFJ0wmz//1NkiuVbMrJYsPpJNqlA8z39efeSfEE2P7umYUQHCuv5N0Tp8hpbMLd0oJbJo1nRVjIBR3KSpWKvfklfHYihcKmFhx1JFwr7eIyTxfMY2PUjCCZDA4coM0/kM3J2WxOzqK1px8vO2sunxjO8pgQLIYRgcqqbOCXpBz2ZZxJAznbsWxCCItjgrA1H1pLUKpUpBbXsud0IYczS+kdkGFlasTMSD9mR/szPlCzU+gbkHMqp5LjGWUk5lTQ1StFV0dCmK8zk8Z5MSnMkyAvx2Ebac5HQ3MXGQW1ZBXUklVUR3W9mhWsp6uDv5cDoX5OhPg7E+zrhLuT9ZiamBRKFfUNnVTVtlFV00Z1XTs1de3U1HfQ/Qfev5WlCU4OFjjZW+Bgb4GjvQX2dmbY25irUybWpn8b5fL/GuSDCtra+2ht66GlvZfmlh6aW3toaumisbmbxuZuenovfP+sLU1wd7XG3dUGD1cbvNxt8XS3xcnBcsyfWWVtGwVljeSXNpJX0kB5Tatad0kCvu72hAe5EBHkRlSI24jpHlDr9uSUNZCUU0lSTiWFVepRpvZWpkyO8GFqlC/jQ9yH1fwB9eKfmF/JofQSjmWX0S8bxMbchLkxASwcH8Q47+EJFXXtXfyWWsD20/nUtnVhbmTI4tggVseNI8BlaLqopaePX1Jy+fl0No1dvbhZW3BlfBSrYkMx+wMdvbW3j+9PZ7EpNYuuASmxHq6smzJ+SAqoTy5nU0Y2X6Sk0drXz2RPD+6aMmkI6zGjoZ43k06SWFONi7k5902azPKgkAucSWJdNS8nHSOntYlxdo48FT+TCS7u/y5HkJqayqBSyfcFWbybdooO6QDL/IK5L3YynpZW52x75XK+yEjli/Q0+gblLAkI4q4Jk/C1+b3bUAjBkbIKPkhMJquhEUczM9ZOiOHyiDBMDX6POsXx45y4426+iI0nydOXsLpqvv72I4yNjdFNSIBx487ZyhVK9ucUs+lUFlk1DRjp67EwPJDLJoxjnPvQC7FnQMbejCJ+PZ1HTlUjujoSJgd5sTgmmBlhPsNuW+WDCk7lV7E/rZiEnHL6pHIsTAyZNs6HGZF+xAV7DtuwBmqHkl/eyMmsCk7lVlJQoZ4dYGFqSGywB7EhHowPdsfDaXQV0I7ufnKL68kprievpIHCsiYGZOroz9TYgABvBwK8HQnwciDAyx5PF5uLWqB7eqXUNXRS16guEDc2d9HQ3EVTSzdNLT3I5YoL7CUSsLQwwdrKBBsrE6wtTbG0NMbKwgTLM+kWCzMjzM/UBsxMDTE1MbxoOYy/AkII5INKdZ1gQE5vn5SeXik9PVK6egbo7lEXjTu7B+jo7Kejs4/2zr4hThLA2EgfB3uLc87S2dESF2crXJ2scHWyvqi0m0yuoKK2jZLKZoormymqaKKksgXZmffe3NSQYF8nwvydCQtwJdTfadRGRpVKUFrbSmpBNSn51aQX1jIgG1QHKX4uxIV5MSXCG38Pe43XYk+/lBO5lRzJKuVkXiUDssFzAdK8mABiAtyHTYd2D0g5mFXKrrQCUkrV0uvj/dxZMTGUOeH+Q9KvKpXgdHkNP53O5lBeGQqVijg/D66Mi2R6kPeQIKqoqYVvkzLYkVOIQqlkdpAvN8bHDikCdwwMsDEtk2/TMumUSpns6cH6yRMZ735hg2pWUyPvJidytLICW2MTboudwFXjIi4IXPNam3kj5ThHqitwMTPngfFTWO4fcraO9e9xBMER4aIgK/vc/90yGZ9kneaLnDQUKhVrgsaxPnoSTqa/5/A6Bgb4ND2Fb7MykCmVLAkI5I7YSfjbXugQTlZW8+Gp05yuqcXKyIiroyO4JjoSW5USXF2hR50WKbVzwKm7i34DA2649lY8Jk3kqvhY4n08htQR8uua2Jycza6sIgbkgwQ42bEqNowlkUFYmQ7l8Jc3tbHjdD670gtp6uzFxFCfWWG+LIwOYlKAx7A5VNmggqT8Kg5llJCQU053vwxDfV0mBnkyZZw3U8O8cbTW3BXc0d3P6fxqTudVcTqvmqZ29eu0szIlOsiNqAA3IgNd8Xa2HTVaVKpUVNa2U1DWSEFZI0UVTZRWtSIfVC8W+nq6eLnZ4Odhj7ebLd7udvi42eJoZ3HREghCCLp6Bmhp7aG1rZeWtl7aOnppbe+lvaOfzm71otnZNXAuN60JBvq6GBsZYGysj5Gh+sfAQA9DQz11ofjMDIKzhWJdXcm5zmIJZ1KUiDOdxQKlSpxLIQ0qlAwq1MViuVyBTK5gQKouGg9I5fQPyDUWtM/CzNQQSwtjrC1NsLYyxdbaFFsb9Q7I3tZcvSuyNcfM9OLrCEqVivqmLsprW6moaaOito3Sqhaq69tRnilgmxjp4+/lQKC3IyF+TgT5OOLuPHrgoFSpKKluIbO4jvSiWjKKauk6s1txd7RiQqgnE0M9iQ12H1FIsbq5kxO55SRkl5NeUodCpcLOwoQZEX7MjvLTuPgPyAc5nl/BnowijudXIFco8bS3YklsMEtig3G1GZouaurqZXt6PltTc6lp78LS2Ihl0SFcPjF8iBaQQqXiUGEZ36dkcrqyFmN9PZZHhHDtpOghQ7Pqurr5KjWdn7Jy6R8cZJafD7fHTSDS5cKu4czGBt4/ncSRynKsjIy4KSqW6yKiLghUyzvbeSctkR2lhVgYGHJH1ESuC4vG6Dwn8a9yBIbebuKqz9/hwehp/4+7/46SNDvPO8FfeO99ZGak97a86+6q9g0PECBA0JOiETWjlWb3rHZG2jna4dnZ1Y7MSpS0pERS9ARBwrNhGu27y3uT3keG996bb//4IiMru6obDYlDafqec8+XVfll2Htf8zzP+14mLQc63HipyG/dvsJfrD5AKpHws1ML/N2Fkzi1BxBLslzm927f4E8f3KPSaPDi8Ci/ceIUs87D2NvtUJj/eO0mr29soZDJ+Jxcyi/+63/JqH/30H0prY4/feJZ/vKJp0m1BQZsFr58fI7PzE9hfg8UVKzW+N79Nb52fZGlUAyFTMbTk0N85ugU58b6H4F02m2BW9tBXr65ymv3NyhUahi1Kp6dHeX5+VFOjfY91ik0Wi3ubIR4+/4Wb9/fJpwS9fdjvQ7OTQ9wdnqAuSHP+0JIgiAQjGe5uRLg1mqA26tBklnxJCyjTs38qJe5ES+zIx6mBt0fqois2WqzF06z6U+wsRtncy/J1l6SZKbYvUetkuPzWBnosdLnsdDnsdDrttDrNmP8L1QVPTzqjSb5gtjLJ1+oUizVKBSrlCt1iqUa5XKNSq1BpVKnWjtQ9zQaTep10ZA3Gi1RDdTlCMSWEgJC1xlI9iuLH6ouVirkyOVSkSxWiM5FrZR31Emi89FqlN0MxaBXo9epMOrVGA0ajAb13xjcJQgC2UKFYDRLMJIhEM2yF07jD6cJRDLUHyLG3Q4jw312hvsdjPU7GB1w0uP6cL2LiuUaS9tRHmyFubcRZnEzQqkqOmOP3cixiT6OTfZxfKIP1we0MKnWm9zZDHFpaYdLi7v44yIkOei2cn5uiPPzw8wOPL5hYqXe4NLqLj+8u8HbS9tU6g1sBi0vLozxyeOTj+Xmqo0mb65s8a1by1ze8NMWBE4M9vKFk7M8Pz3ySF1QrFDk67cX+cvbD4jmi3hNBn76xDw/eXT2kbMB7oWj/MHN23x/dR2JRMInJ8f5tVPHGXMchq6vBgP8/25e41JgD4tazS8fOcbPzx05JJHfy2f5t7ev8o31JZQyGb80c4xfXziBSXXwnDdiQcwqNWMWx0fHEfRPTwqm//nXKdRrfGZwin8wf45B4wFDHshn+a3OB6OQyfjpyXl+ff4ELt0BNpmulPnDu3f4o3t3KNRrPNHXz68dO8G5Pt+hBbGdSvOfbtzmm3fvU5NIeH7xPv/yq3+GptHg4WVT/x//R1758s/zZzfucTcYQSWX8dLUGD95dIZjvkfPDFiNJPjmzSW+e2+VTKmCTa/lY3PjfHJhgpneRxdlo9ni8pqfH9xZ463FbUq1OgaNivPTQzw7O8KZ8X6079O3aCuc4uLSDhcXd7i3FabVFtCplRwf6+XUZD+nJnwMuN4/ktt3DHfXQ9xdD3FvI8xeVNyEMqmE4V4700MepofcTA66GPTaPlCV9PDIFyvsBFPsBNP4Qyl2Q6IhiiXzPLw0DTo1PS4TXqcJj9OE2y7CHS6bAafNgOG/IPr9qI79LCmWKhBLFogm80QTeSLxHOFEjlAsdyg7kkkleJwm+r2iM+7vsTHYa2Og1/YjW5Lsj3qjyWYwycpOjOWdKItbUXYjqS6JPtxjZ27Uy8JYD0fGej/Q8LfbAhuhBNdW97i6ssedzSC1RgulXMaxsV6enBnk3MwgfQ7zY/8+X6ny7vIur9/f4OLqLtV6E4tOw7NzI7x4ZIzjw72PQDnttsDN3SAv313lhw82KFRruE16Pn1kis8em6b/PYdTtdptLm/v8Ze3H/DG6hYtQeDskI+fObHAhbHDUFGj1eKH65v84c073AlH0CuV/NTCLD9/7Ajehw7QarXbvLq9xX+4dZ17sSh2rZZfPXqcn56ZP5QB7OYy/Ps71/jG+hJyqYyfmZrnNxZO4ngo8F1MxfhXd9/ljdAWnxmc4ree+vRHxxEcP35ceP3SRX5n6Rp/sHKTRrvF54dn+PuzZ+kzmLv37eYy/NvbV/nWxjIyqZQvjs/w6wsn6TMcpH6FWo0/X7zHf7pzm0S5xJTdwa8cPc7HR8cPKYNS//E/8tWvf4vp3R3Obq7zf/7Sz7AQ2OPzt25glkrg3/ybbmvp1WiCr966z3fur1Kq1xm0Wfj8kWk+PTeJ03CYKKs3W1xc3+U7d5Z5a2WHRquFz2bmE/PjvDQ3zojr0c6JtUaTK2t+Xru/yVtLW10Y6PRYP+enh3hqahDnYyohQeQibqwFuLK8y9VlP6FOtuAw6Tg+3seJsT6OjfXSazd9oGHNFio82Iqw2JnLO1FKHaOiUsgY7XMwPuBi3Odg1OdguMf+Y7WfqNWbhGJZMVqNZgjFcoRiWSIJ0Zg9rCwCMZtwWA04LHrslg5cYtZhMemwmrSYjRrMBg1mo+bHUjb9tzYEQaBaa5ItVMjmRa4gnSuRzpVJZ0skMyWSmSKJTJFkutSF4/aHSinH4zDicZrocZrocZnp9YhZl9dp+kDp5ntHqVJnM5hgYy/Bqj/Omj/OVjBJsyVCWya9mpkhDzPD4pwecn8g1CMIAtuRFLc2QtxcD3BzLUC2JEJGg24rZ6b6OTPZz9Gx3sdyZiAWe729tM1bi1vc2urARQYtz8yN8NzcKMeHex8JUgRBYCkU4/v31/n+vTVi+SIapYLnp0f4zNEpTgw96jACmSzfvLvMN+8uE8kXsGg1/MTCFF88NvfIuSexQpGv3nvAX9x7QLxYwmc28QvHjvATs1OP9Er7+soSv3/nFv5cFp/RxK8eO8EXJqcPcQBr6QS/fec639laRSGV8eXJOf7ewkmcDwW6a5kE/997F/nB3jompZq/O3OKX5w4hlah/Gg5gv021PFKkd9evMqfrd2lLQh8fniG/272DL6HHMJePstv373O19YWaQsCnx6Z5NfnTzBhO1AC1JpNvrW2wu/fvslmJo1Lp+dn5xb48swsVo1W5AYcDqjVWPJ4+c3P/AS3BoZQNRp8YnmRL//mP2VheOgRDfD3l9b5+p1FbgfCyCQSnhgZ4LPzkzw9NvxIA7t8pcprS5u8fHeV69uiznnEZePF2TFemBl9rFNotFrc3g7x5oMt3lrcJpwRDftEj5MnpwZ4cnKQGZ/7fSP0YCLL9bUA11f3uLkeJF0QZYROs54jIz0cGelhYdjLsNf2gWqidlsgEMuwshNjxR9jdTfG+l6i6xykEgm9LjMjvXaGe+0M9dgY9Nroc5l/LOOz/1ypbIloMk+8E+0mMkUSqQLJTLFjDB81gvtDpZSLJLFOjUGnQq8VSWK9Vilq+dViMZlGJUetUqBSyVEp5N1CMkVHCirfP4GsU1DGewrKEER+oN1ud3mCRrPVkZ/uz6YIP9UbVKriLHe4glK5RnGfMC7VKJSq5IvVQ5DNw0OjUmCz6LB3nKHTJjpGp92AyyZmUBbjj3+AT63exB/NsBNOsR1KsRVMshlMEk4cHG5j0qsZ73cy0e9iYsDF5KALr934gc/VaLVYDyS4sxXmzmaIO5shskWxDYbbauDEWB8nJvo4Oe5736aM9WaT29thLq7s8u7yDjvxNACDTitPzwzx9Owws75H4aJ94//DxQ1eub9OMJNHLpNybrSfT8xP8PTUMNr3OJtircYry5t8694yN/xBJMC54X6+cGSGZyaGDwWObUHgin+PP79zn9c2xEzhqcEBfv7YAk8NDRziEcOFPH96/x5fWbxPrlZlzuXm144e58Xh0UN77lY0xG/fvc5r/i20cgU/OzXPr8yfOAR9r2Ti/Nv7l/mefw29QskvTx7nV6ZOYlSKDucjxRGYxwaEb771Ghc8B8UX0XKB335wla9s3KMltPnM4BR/b+Y0I+YDzC1SLPD7D27y58v3KTcbnO8b4NfmTnC25wAOagsC7/h3+U93bnEx4Ecpk/Hp8Qn+bqnK0Oe/IOa3SiWUy6wMDfOVYyf59olTlNptxuw2vjg/w2emJw9V/IF4pui37i3znfsrRPNF9ColL06O8qm5CU70PxpxJPJFcZE+2OC2P4QgwKDDwnPTIzw7NfJY+EgQBDYiKd5d3uad5R3u7UZoCwIGjYrTYz7OjPdzZtz3WDJs/+93omlurQe5vRni9kaQRE7kBvRqJTODbmYHPcwNepgecGPWf3CzunZbIJzMsbGXYCOQYDOYZCuYJBjPdmEfmUxKr8NEv8dKv8eCz2Whz22hz2nGbtb9Z8M9giBQqtTJ5MriLIjRc64gzkKpRr5YpVCqUizXRG6gKlb27ke0/7WGUiETHZJGiaHjpIw6Ud1k1KkwGTSYOtmNxajFbBRVUe/Xm+rDjFa7TSJTZC+WJRDNsBfLsBfJ4I+mCSfytDtfmEwqwee2MtxrY6RXzPbG+hw4rfof+V0lckUWd6I82IlwfyfC8m6MasdZ99pNHBkVA49jo++fkQqCwG48w5U1P5fX/FzfDFCtN5HLpBwf7uWpqUGemhrC9xi4qNlqc3cvzKuLm7y+vEkkW0AulXJquI+X5sZ4dnrkESy/3mpxcXOXlx+s8vraFrVmi36rmc/NT/GZ+Sk87zmvJFoo8o3FZf7q/iKBbA6LRs0XZqf50sIcAw8VgQmCwPVQkD++f5cfbm0gAC8MjfBLR45y3HMAJbfabV71b/G7925wKxbGrFLzizNH+YWZI1jUB/vvbjLMv7t/hdeCmxgUSn5h4hi/MnUCs0rTfZym0EYtV3x0HIFh1Cc4/5+/zpzVw9+ffpKnPSPdDy5WLvC7yzf4s/W7VJoNXugb5e/OnOKo40CHm61W+NPle/zh4m2SlTITVge/PHuUT49MHmLYN1Ip/vj+Hd65eoW/+mf/nIZOx82v/gUvrm2g3tqCkRH40pcoKpS8vLLGX95/wP2ISAI/NzLEF2anOTfYj/whI99qt7m2G+A791d5dWWTUr2OQ6/lpakxPj4zznyv5xHVUTxf5PWlLV5b2uDGTpBWW8Bl1HNhcogLE0OcHO57JLsAsYf61XVxw1xa9RPPicRsr83EqdE+Toz2cXKk77G9j6Bz4Hwyx93tMPe3xM27GUp2jUKv3cRUv4upfheTPhcTPicGzY8+jKRaa7AbSbMbTrMdTuGPpNmNZAjGs4cgH5VSTo/DRI/DhNdhwmM34rEZcduNuKwGLIb/fY6nFKP0BuVqg1pH2VPrqHwazRbNVpt6pwX1fgsJQRA686GCMomoJpJKRWWRTCbtZBMylApxqpSdrKNz1agVP3aG9GFGuy2QypWIpQtEUwUiyRyRZJ5wMkconiOczD/y2ftcFgY6DnrQa2PQa8Xntnyog4oyxQorezFW/HGW/VGW/DHiWXH9yWVSJvqczA56mB/2sDDc874RP0A4nefGZoBrGwGubwS667jPbuLs+ABnJ/o5Ndr32Or8YrXG5c093lrZ5u3VbbLlKkq5jLOj/Tw3PcLTk8OY33OwfLPd5vpugO8vrvPDlQ1y1RpmjZqPz4zzqdkJFno9h9Zdrdnkjc1tvvZgiXd3RFL5tK+PL83P8MLYyCFYJ1+r8a3VZf78wT3W0ylMKjVfmp7hZ+cW6DUeBGjFep2/WlvkDxdv489n6TUY+ZW543xxfAatQnyfgiDwbmSX3168ypXoHialml+aPMYvTRzvEsXNdpvv7i3z75cv8nHfJP/D7IWPjiM4dvy48I+++rv89splAqUsU2YXvzF1jhd7xruRdbpa5g9Xb/FHq7fJ1aucdPXxa1Mneab3oIKv2mzync0Vfv/BLdbSSaxqDT89Oc/PTM3j0Xc8fbNJ8+mn4eYNfuN//ie8rtdiVKn43MQUX5qeZcJ+uNBkJZ7g6/eX+PbyCplKFYdOy6emJvjs9CSTzsM66GqjyZvrW3xvcZ23N3aot1q4jXpemBzlpalRFvq8jziFbLnKO6vbvL68xaUNP5V6A7VCzqnhPp4aH+TJ8QF6LI9G/IIgsBNPc3Vtj6sbe9zaDFGoik3KBp1Wjg33cHSoh2PDPXgs73+qWblaZ8kfY2k3ylJng0c7UlMQncNYr4PxPgejPQ7Geu24LR9OFtpqt4km8+zFsoTiWQLxrEhqJnJEEvmu0mR/KOQynBa9CH9Y9NjMOuwmHbbOtJq0WAwazPr//Xr5/9ce9UaTbLFCpsMVpHJlUrkSyVyJZLZEIlMknimQyJZovSfTMWhVXSfrdZjoc5npcZrpd1lwWPQf+jsLJnJshBKsB5OsBeOsBxPEHlKD+ZxmpnwupgfczAy4Ge9zvm97FEEQ2EtmubUV4vZ2iJtbQcJpEe606DWcHOnj1JiP06N99L6HuN3/++1EmnfXdnl3bYebuyGarTZGjYqnxgd5ZmqYJ8YGDppEdkaj1eL6bpAfLK/z2uoWmXIFrVLBcxPDfHx6nHPDh1V9giBwOxTmW0srfHdlnXythkuv5ydmp/j87PQj0f+daISvLj3g5fVVKs0ms04XPzM7z6fGJtAoDiCo7WyaP166y9fWFik26hx1efk7s8d4cXC0G1A22i2+u7vKf1y6znImjkuj51emTvDlsXn0CjEQq7dafMv/gN9ZuYy/mGHc5OT/Mnue53rHPzqOoFtQ1m7xbf8iv7NymZ1CmiGDjV+bOM2n+2dQycSFVmrU+crGPf5g5SahUp4ho5VfmjjG54cPe9ZLoT3+cPE2r/u3kEokvDAwws9NH+HMv/l3SP75P4c//mOEn/1ZroWCfGXxPq9sblBvt1hwefjC1DSfHJs41Nyp3mrx1tYO31hc5u2tHRrtNiM2K5+emuCTU+P4zOZD76lYq/H66havrGzw7qafRquFQ6/j2fFhnp0Y5tRA7yOl7bVGk+vbQd5Z2+HdtR0CaRGzHbBbODfaz9nRfk4M9T6y6KHT9CsU58ZmkFtbQW5vhyh2DK3LrOfIoJeFAS/zAx7GehzvKzUFsY3FSiDO6l6c9WCctWCCvXi2+3utSsGQx8aw18awx8ag28qgx/qhHcT+d5QvVYkk80RTBWLpPLF0x8hlil2jV60/nhfQa1SY9GpMHW7AqBX5AYNWhU6jQqdWotvnB1QKNJ36AbVSjkopRykXm80pFSI/8J+bibTbAs1Wi3pHglpvtKg2xBPLKvWGKFutNihV6yJUValTrNQolmvkSzUK5Sr5Uo1csUKuWOm2bXjv0KmV2M0iX+DsTJfVgMtqwN3JrD6IuH3vaLbahFM5diJpdqJptiIptsIpdqIpah3OQiaVMOCyMtbnYLzXwUSfk0mfE4P2/aW/tUaT5UCMe/4I93Yi3NkJky6KPJVFp+HocA/Hh3s5MdLLiPvxva2y5SrXtva4vOHn0oafSFYMTEZcNp4cH+D8+BBH+h/tr1WuN7i05ee1tU3eWtsmV62hVSi4MDbIS9NjPDUy+EimvZ5I8tcra/z18irBXB6NQs7zoyN8bmaKs/19hyDeZLnMt1aX+dryIuvpFFqFgk+NTfDlmTnmHmp502y3eWNvmz9Zusu7wV0UUimfGBrnF2aOcsR1UE+QrVX4ysY9/mj1FtFykRGTjV+dOsFnh6YP2buvbt/h99euEa0UmLa4+e+mzvF8z/hHr6DMMzUiXL52lUGDiP+32m1+EFzld1Yus5yN4VTr+cWxE3x5+ChG5UMpkn+V31++wf1UFKNSxU+NzPNz40cOKY0C+Sx/unyPr64+4MS1m/zu7/wRy1/4HK4//lNsmoOeKOlKmW+urvBXSw9YT6dQyeS8MDzC5yenOdfnO7QgMpUK31td5ztLq9wKhQGY87j4+MQ4H58YPXSQBIhO4a31HV5d3eTdjV3KjQY6pZInR/q5MDbE+dFBLO85hlMQBHaTGd5d2+Xyhp8bO0GqjSZyqZQ5n5vTwz5ODfcx1+d+xKHsf4YbkSS3t0Lc3Q1zdydCtLOhVAoZkz1OZnxuZvrdzPS56fsRqqJytc5mOMVGKMFmWDQa25FUl4wGUCvk9HUi0D6HGZ/TQp/DRJ/DjN304/MDgiBQqtZJd6LiTL5MOl8mW6yQK1bJFirkS1VyxQqFco1CWTSw/zmcgEwq6ZDFUmRSKeLX/R6ymH2yuFNQ1iGNf9yhlMvQa0WnZdCqMOk1GHVqkSfQi2ooi1GDzShmQTaT7n0ryj9otNpt4tkiwUSOQCLLXjzDXjyLP5YhmMwdgo6cZj1DHhsjXhvDXjujPXaGPLb3jfT3H38nlmYpEGNxL8YDf4T1cJJmW/z8fXYz8wMejgx6OTrcw6DT+tg1UK43uLMb5tr2Hlc3AyyHYwgC6FVKTo/4ODfazxNjA3gfk9nG8kXeXN/mrY1trmzvUWu2MKlVXBgb4oXJUc4N9z9i/LdSab63us73VtfZSKaQSSSc6ffxmekJnh8dQf9QoFVrNnlzd4dvrCzxln+HZrvNEbeHn5ya4ZNjE+gfkn+Gi3m+uvqAv1xdJFIq4Nbp+fLkHF+enD9EAK9lEvzR2m2+ub1EpdngnLufvzN1ggs9Q13EIFEp8kcbN/jzLREBOeXw8euTZ3nKfbgPm1Qq/eg4At1ojzD4L36V571T/J2Rc8xYRPxfEAQuxnb43dWrXIrtoJMr+fzgHL84dpJ+vaV7z61EiD9YuckP9tZpCwLP9o7wc+NHeNI72P1ga2urSE6cJOC08/F/+KsIKjXPDwzzxYlZnujp7xp6QRC4H4vytZUlXl5fI1er4tTp+OToBJ+ZmGTGcfgAjVAuz3dX1/juyjpLMbGHyrzHzUvjo7wwNnKoqyCIC+vK9h6vr27x1sY2iWIZCTDf6+H86CBPjgww5XE+AiHVGk3u7IW5vOE/tFlUchnzPi8nBns4PtTLXJ/nsfwCQDRT4L4/wr3dCA/8EVZC8W70Z9ComOhxMtnrZLLXwUSPk36H5UfWD2SKFXYiKXaiaXZjGfyxDHvxDOFkvmsQQHQSHpuRHrsJj9WIx2bAYzHithpwWvTYTboPzFI+7BAEgVqjSakiRuDljmqnWmtQ7XAD1YZ4bXTUPs2WyBM0f1yOQCoqjRRyGUq52HxOpRAzDpVSLmYhSgValaKrXtJrlB8Kk/8wo95oksiViGYKxDIFIqkCkXSecCpPOJUjki4cMvYKuYw+hwmf00K/y8KAy9rN5n4UF9RottiKpVgNJlgNxVkJxlkNJajUO61HVEqm+lzM+lzMD3iZG/BgMzy++VyxWuOOP8Kt3SA3doIsBmM0W+1DQc7Z0X5mex9VxzXbbe4FI7yzscu7m7ssR8U912M28vTYEM9NDHPM1/MI7LOeTPHK2gavrG+ylhDP6jjR28PHJsb4xMQYNt3Ba20LAjfDIb69tsL3NtbJ1ao4tDo+OzHJFyZnDnUvqLdavOHf4qtrD3g7sIsgCDzZO8BPT83zXP/wIfjn1cAGf7J2hyvRPZRSGZ8dmuIXJ44zZT0ool3JxPiD9ev89d4SjXaLF3rH+dXxMxyxH9jEa8kdfn/jEk+6RviFkbMfHUewcOyo8It/8r/xFzs3KDRrnLQP8Msj53jCeUAaL2ei/P7adb4bWKLZbvOsd5SfHzvBWedBk6dwKc+frd/lqxv3SFbL9BvM/NToPD/pHcH+zHOwtwe3b7Nu1POVlft8c2OZbK2KV2/g82PTfH5smgHTQcl4rdnkjd1tvrW6zFu7Ihw0ZLHwqbEJPjU2cagtLIA/k+V7q+u8sr7BYmeBTjjsPDc6zHOjw0y7DjuRtiCwFI7x5vo272zushgW+wNZtRrODfdzbrifM0M+XIZHibdcpcqtnRDXtgLc3AmyFk0gCCJxN+11cXTAy0K/lwWfB/tjmt2BiKNuRVMsBWIs78VYDsbZiCSpd4yHSiFjxG1n1CPOEY+NYbcNh/FHR/eNVotIqkAgkSWYyBJK5gglReMUTuXIv+fQFYkEbAYtDrMeh0l0DDajFrtRh9WoxaLXYDGIV6NW/Z/duuK/9dFqt8mXqmSKFTKFCulCmVRBzISSuRLJfIlEtkg8WyRTrDzy92a9hh6bset0e+wm+uwm+pwWXBb9j2xAKAgCkUyBrWiKjUiSzUiS9UiS7Vi6m2mplXImvA6m+lxM97mY6nMx6LS+70ExkVyBu/4Id/1hbvvDrEUStAUBuVTKVI+TE0O9nBjs4+iA97GwZzCT49K2n0tbfq5sByjUasgkEhb6xODpwtgQo47Dh9y02m3uhCO8trHFqxtb+DNZJMDx3h5eHB/hpfEx3A/tK0EQWErEeXljjZfXVwkXCmjkcp4fHuFz41Oc8x0WiSyn4nxtbYlvbyyTqlZw6/R8YWyGL03M0Gc0H7z2Yo6vbtzjq5sPiFeK9OiM/MzYEX5qdA6rWtt9ra+HN/ijjRtcjfvRyBTdgHfQINqYZrvFq5EV/mDzMkvZMDaVjr8/8QxfHDz+0XEE+xxBsVHlr/y3+JOtq8SqBYYNDn5++DSf7J1DLRNT41ilwJ9t3uIrW3dI18qMGO387MgxPjswi+EhYuX7e2v82fpdrscC/PPf/zo/+c4NHvzR7zH1s7/U3Qy1VpNXdzf5y9VFLoZEdcAxl5fPjU3xyaFxzA/JubLVCt/f3OA7aytcDwURgAm7g0+MjvGxkbFHnEIwl+OH61v8cH2D2yFR9uk26HlmeIinRwY57es7RCqB2NHw8vYe72zucnnLT7osbvQRh5XTgz7ODPo43t/ziCQOxJqFO/4wN3dC3PaHWArGabREg95rMTLb52He52a2182E1/m+WUOj1WInlmYtlGAtnGAtlGAzmiL1EARk0KgYcdsYcFoZcFoYdFrod1rotZk+dFRfrNSIZQpE0wVi2SKxTIF4tkgiWyKRK5LKl8kUyzxuOUslEoxaFSadCKkYtSoMGhV6jQq9RolOrUKnVqBVK9GqFGiUYmSuVsq7EbtyP4rvqH7kMrG99IeFr4ROTUGz1abR6tQSNFvUGi1qjSa1RqeWoJOJlGtiZlKq1ilWO/UElRqFighpZUsizFWo1N73PVs7jtFu0uE063Ga9bgsBlwWPW6LyBe8X2HWe0e92WQvkWU3kWE3nmEnlmYnnmE7lqJcO+ApXGY9ox47414H4z0Oxr0OfA7z+zqUUq3OcijO/UCE+4Eo9wMR4nlRsqxRyJnt83B0wMvxwR7mfd5HtP0g7oPru0Gu7OxxdSdAICNyZW6jnnND/Tw5OsCZQd8j+6BQq3Fxx8+bWzu8ubVDplJBIZVyytfHi+MjPDcyjEN/EBQJgsByIs73Nzf47sYa/lwWuVTKE75+Pj02yfNDw4cqf2OlIt/ZXOEbG8uspBIopFKe6xdRhad6B7qfSb3V4o3gJn+xeZ+3Q9sAXOgZ4mfHj3DBO9S9L1Ut8bWde/zZ5m1C5RwerZGfGznOTw0vYFKKtqfQqPJ1/23+bPsa4UqOfp2VXxw5y2f65lHJFB81jmBIePXy28yY+wCot5v8ILTEH25eZi0fw6zU8MX+43xp8DhujaigqbWavLy3zJ9s3ORBJoJWruAz/TN8efgo05YD4ib27/4Nrr//D/ndz73A//rZZ+jRGfn88AxfGJ49VKQWLRX41sYKX19fYiOTQiGVcr5vkE+PTPJc/1CXiAaIFYt8f3Od726scSsicgRjVhsvjozywtAIU++Bj1LlMm9t7fD65jYXd/yUGw1UchmnfX2cHxrgqcEBBqyHm1e1BYG1WILLW3tc2vZzey9MtdlEAkx6nJzo7+VEfw/HfD2P8AsgbvTlUJy7exHu7oV5EIgS7cj05FIpIy4b070uprxOprxORt32DzQiqUKZrWiKzUiSrVia7ViKnVimSwSCiLP3WE302c347GZ6bSZ6bSZ6bEZ6rCZ0P6YuvtlqkymWyRQqXceQKVTIlarkShWypSqFcpVcqUqxUqdQqVGq1h+pUv5xhqxz5oBUgthjaP9rFMTGc/scQfu/YJ8p5TL0mn3npew4MzUmnVrkCHRqLHotZoMGq0GLzaDFpFf/yGj+4SEIAoVKjWAqRyidJ5jKEUzlCCSz7CWyRLKHW344TToGnVaG3TaGXFZGPXaG3TaMH0AMl2p1VsNxlsNxlkNxlkIxthMHp531WU3M9rlZ8Hk40u9lzO14LNQYLxS56Q9xwx/khj/IZkIsItOrlJzo7+XskI9zw/0M2g63TdmHfN7e3uGdbT83g2LlsUmt4vzQIM+ODPHU0MChat+2IHAnGuaHW5v8YHODQD6HTCLhdG8fnxwd54Xh0UM1Q7lalVd2Nvj25gqXQ3sIwLzDzefHpvnUyMQh7f9qJsHXth7wze0lUtUybq2eL47M8cWROXr1pu5rvpkM8JWtO3w/sEK93eK0s5+fHz3Os96xbtaxW0zy59vX+ebeXcqtOsdsPn5x+CwX3GNIJVIxEBHaKGTyj44jMI71CBO/9QvMm/v56YFzPOWaQtZ5szdSu/zJ1lXejK4hlUh41jPJlwdPcMJ2AAndS4X4083bfDewTK3VZM7q4UtDR/h0uoH2qfPwxBPUvvsyr4a3+erGfS5GdhGAk85ePj88w8f6J7qVeoIgsJSK8+2NFb6zuUqsXEQjl/Nc/wifGB7nQt8AavmBwYwWC/xgc4MfbG5wM9I5Pcxg5PnhEZ4bHOaE9zBeWWs2uR4I8dbWNm9v77KbyQLQZzbx5EA/5wZ8nOnvO3QGM4iG/V4oyrWdANf9Qe4FI9Q6Bm/YbuWYr4ejPi9H+rz4LI8nfuP5IovBGA8CURZDMZaCMXIVseRfKpEw4LAw4XEw7nEw7rYz6rbjMn5wYVG+XGUnnmE3nmavY2T8iSyBZJZS7bA81KRV47EY8VoNuM0GXGYDLrMep0mPy6THbtR96Ij2g0a90aRUa1Cp1SlV96PyRpcb2I/YG/uVwa0WjeYB+dtutxHgkWMlpdIORyARm8/JZVIUnWxC0ckulAoZaoWYeexnIRrlQXai0yj/RriQUrVOIl8inisSzxWJZQtEs0UimTyRTIFIJt9Vje0Po1aFz27GZ7fgc5jpd1gYcJgZcFo/0Em32wLhbJ71aJL1aJK1SILVSIK9VLZ7j92gZbrHxUyPi9k+NzO9biyP6cTbFgS2EinuBCLcDoS5tRfqRvxapYKjfV5ODfRxarCPKY/zEBwDkCyVuOwPcGnHz8VdP7GimG2MO+ycHxrg6eFBjvR4D/1dtdngciDAa9ubvLazRbJcRiGVcrbPx0vDozw/PCJ2G+iMQr3G6/4tXt5a4+2ACAn3G818ZmSSz45OMmQ+yP6TlRLf2V3hG1uLLKZjKKRSnu0d4UsjczzlPehNlK6V+dbuA766fZfNfBK9QsXn+mf5mZGjjJpEyXpLaPNObIOv7FznUnwLuUTKx3pm+Lnh00ybxTbX9XaTH0bu8+e7F3nBPccvjTz9t+cIJBLJV4Hxzj/NQFYQhIXH3LcLFIAW0HzcC3zcOHrsmPCPvv5bfMV/mUglg0dj4Yu+03yq9zhGhbiYgqUMf7F7g6/7b5NvVBk2OPjSwHE+1TfXvSdXr/DN3UX+YusO0cgef/2PfxtjW8LO268xPzF/iEv45vYSX99aZDufRimV8XzfCJ8enOJCz1BXutVqt7keDfLy1hrf314nXa2gUyh4xjfMx4fGON83cChTSJbLvL69yavbW1wM+Km3WhiUKs73D/D0wBBP9Q9g0x4m0PyZLO/u+HlnZ5drewFK9QZSiYQZt5Mz/T7O+Po41ut9BEaqN5s8CMe46Q9xay/E7UCYYsfwWrUa5ns94uxxM+N1YVA/SgYKgkAkW2ClE9WtRhKsRRJduR6AQa1ixGVjxGVj2GllyGFj0GnBYzJ8oIMQBIFsqUowlSOcFqPScCYvcgSZPLFs4RFDtf98dqMOWycSthm0WPUiN2DWidGySavBpFVj0qo/UNXyf5QhCAKVepN8uUquXCVbroi1BKUqmWKZdLFCulgmmS+RLpZJ5EuH4Jv9YdSq8JiNuC0GvBajyBVYjPRYjfTaTY8cpPTe0Wq3CWXy7CTSbMfTbMZTbMXE6z4pDOCzmRn32JnwOJn0Opj0OnEaH19AlilXuB+Kci8Y4V4oyv1glEJN5IcsWg3HfF6O+Xo47uth8jGGv1CrcT0Q5Io/wBV/oEv0mtQqzvb7eGpogCcHBw7h/SC2eXjbv8ubO9tcCvipNJvoFAouDAzy3NAITw8MHZKH52pVXvdv8f2dDd4OdGqAdHo+OTzOp4YnmHMcnDlSatR5LbDJt3aWeCe8Q0sQmLa6+PzwDJ8ZnML2EPZ/MbbD13bu8WpojUa7zYLVy08NH+ETvim0ctF2JKtFvrF3m7/avUW4ksOh0vPFweP8ZP8xHGpD55483whc5xuBa6TrJYb1Ln5l5Bme88z918kIJBLJvwRygiD85mN+twscFwQh+eM85rHjx4VbN2+KHjG+wld2L3E3s4tapuBjngW+0H+aUYOov622Gnw/uMhf7N5gMRtGLZPzkneGLwwcZcHSh0QiQWi1yH3y4xhefZ1f+M2/y5VhD/16C58bmOUnBubo0R2kafdSEb61vcxf766QqpYxKlW85BvjUwOTnHEfEETNdpsr4T2+t7XOK7sbpKsV1HI5T/UO8MLACM/2Dx9KE8uNBpf2/Ly+s8Ubu9sky6I6aNbl5nz/AE/1DzDv8hxa+PVWi/uRKBd3/FzxB7gXidJst1FIpcx6XJzs6+VkXy9HejyH0l0QF91WMs2dQJi7wQh3AxF2Upnu7wdsFma9Lma8LqY9TibczkMyuYdHvlJlI5pkLZpkM5bqzv3sAUS8t99uYcBuod9uod9ups9qos9mxq7XfiisvVitEcsWu1FtIt8hQ/MlUoUyqUKJdKHSLZR73FDKZSLEolZh0CjRqZTo1Eq0KvFnTSciVysV3Uj9YX5AKd/nB6QoZFKkkg4s9D6H14spuQgPNdvtrtqo0eqcS9BsUWseqJMqnUykvJ+h1BoUq3VK1RrFap1CVeQJPkjyatKqseg12A067EZt56rDYexwBSY9LpPhsd1q3zvabYF4oUgglWMvlWUvlWU3mWE3mWEvle0KBQBsei0jLhujLhsjLjvjbjvDLttjCV2AbKXKSiTOUiTGYjjGg3CMUFYsHpNKJIw6bSz0esTZ52XAan5knWQqFW4Fw1wPBLkeCLIcE4llpUzG8V4vZ/p9PDHgY8rlPASV1ZpNbkXCvOPf4S3/Lusp0QT1GIw8OzjEs4PDnOzpPVQVHCsVedW/ySs7m1wJ79Fst3Hr9HxscIxPDo9zxHVQAFptNXk7tM1f767wenCLSrOBV2vgM0PTfHZwinHLQSHqZj7JN3bu823/ItFKAYtSw2cHZvnJwXnGzaJCqC20uZLY5mv+27wRWaUptDllH+RLg8d5xj2BQioTFYzZPf5q7wpvRJdoCi3OOcb5cv85TtiG99fo374jkIjf2h7wjCAIG4/5/S7/GY7AOuEV/v0rf8zHPacxKUXPvp4P81X/FX4YuUet3WTO7OMLvtM87ZpG1SGOl7Nh/sp/i5cDDyi36gzp7fxE/xG++NXX0f3f/yn8639N6e/9Bj8IrvKN3ftcjfsBOOnw8Zn+GT7WN9ElZRrtFhcju/z1zio/DKxTbNSxqjS86BvjE/0TnHL3oZCKKX2z3eZ6JMgrOxv8cHeTSKmAVCLhuLuH5/uHebZ/+FD62O4oEt7a3ebt3R3uxqJizyClijN9fTzR188Tvn76TYc3Rqle52YwzLW9ANf2gixGY7QEAalEwoTTwfFeL8d6vBzp8R5qe7s/cpUqD8IxHoSiLIbFzRkrHFSI9lvNTLodTLidTLjsjLscuN8HChIEgVSxzHYizU4izU4iIxKNyQyhTP4QZq5RKuizmuixGOmxGPFaTHjNBjxmA26TAduHdBT7o95skilWyZUrZEodjqBcJV+ukq/UyJerXaNarorGtlSrU6k1KNfrXYnsf62hVsrRKkWnpFMfOCu9WoVBrRSL4TQqkSfQqjHr1GL2oxU5gx8HSmq126SKZaLZAuFsnnBWzMBCmTzBTI5QOteFFEFUmfmsZvrtZgYcFoYcVgbsFoactkdaNeyPtiAQyuZYiyVZiSZYjSZYiSYI5/Lde3rNRmZ73Mx4XMz2uJn2Og8Rr9CpOs7muB0KcysY5mYwxGZK5AeUMhnzXjenfX2c8vVyxOs5ZMQFQWA9neLinp+Le36uhwJUmk0UUinHvb1cGBjgQv8QI9aD2gVBEFhJJ3jdv8Vru1vcS0QBGDCaeXFwlBcHR1lweg4Z/3fDO3zPv8ZrgQ0KjToWlYaP94/z6cEpTjh7D+n+X95b5lv+ByxmosgkEs57hvn8wDxPe0e6KEO4nOVbe3f55t4dwpUcZqWGz/Yt8IX+Y906qlKzxg/Cd/l64BqbhSh6uZpP9hzlC77T+HTiPfFqBqlEgkNt+a/iCJ4C/tX7QT4SiWQHyAAC8B8EQfiPH/BYvwb8GoB1xH3s6O/+FAqJnKddR/m09xzjRh8AuXqZl0O3+UbgGoFyCpNCy8e9R/hs3wkG9aJ3LTVq/CC8xDf8t1G8c5Hf/6d/zN2nT5H+o9/jvGccpVT8EkKlHN/yP+Bbu4tsF1IopTKe8gzzKd80z3pH0XSw/2qzwVvhHV7eXeGN4BblZgOzUs3zfaO81D/GOc8A6s4XKwgCD5IxXt3d5NXdLVbTCUBcXBd8QzzjG+Kkp/dQz6NstcLlwB7v7vl5x79LpChCMV6DgTO9Ps709nG6tw+v4XABTale5244wo1AiFuhMHfDESqdJl8uvZ4Fr5sjPV4WvG6mnM7HKjISxRJL4RjLkTgrsQQrkTjB7MEGNqhUjDptnWlnxGFj2GHFrnt/411vtghlcgRSOQLpLIF0jmA6JxqfdI5y/TCMoZDJcHd4AYdBj9Oow2HQ4TDqsRu02PU67HotRs3fjEy03RaoNppUG41u5W+9ww3Um/s1BC2a7U7E3+EIHldHIIFOwdlDdQQdrmA/w1Ap5Kjk4gE1Krn8b+Q9tNptsuUqqWKZZKFEslAiUSgRz5dIFIrE8kXiuRLxfPFQ/QaAUa2ip+OY+6wmeq0m+qxmfHYTHpPxfWtFBEEgmi+ylRThoY14ko1Eis14inJD/E4liNnmpMfJpMvBlMfJlMf5WAFDoVbjQSTG3UiUu+EId8ORrjLOoFJxxOvheF8PJ3q9zHncjxh+fy7L1WCAy8E9rgQCpCqiUGHQbOFJXz9P+gY41dt3qMir1KhzKbTHm/5t3gxsEy0Vxbodp4fn+4d5fmCEUcuB9LTYqPF2aIfv763xZnCbUrOOSanmhb5RPjkwwVlPfzcgzNervBJc5a/3lrkS36UtCExb3Hyuf5ZP9U9hV4tBbblZ57XICt/au8u15A4S4IxjiJ/oP8qz7gmUMrnopPIhvhW4wQ8j9yi36owaPHzBd4oXPfNo5SoRwchu8p3QRS4lF/m49zT/cPyLf7OOQCKRvAa4H/OrfyIIwrc79/w2sCkIwr98n8foEQQhJJFInMCrwN8XBOGdH/Xcx48fF77+9st8O3SRV6M3qLbrjBt8fNJ7lgvOI6hlStpCm5upbb4RuM7b8WVaQps5s49P9x7nOfcsWrkKIhGaC/PkdSp+5l/8OnuyJiaFhpd6pvlU39wBdCQIPMhEeNm/zMuBJWKVIhqZgme8o3zCN8l593CXEK42G7wd3uEHe+u8Ftik0KihlSs47x3k+b5Rnu45DAkFCzne3Nvmdf82V8IBaq0marmc054+nuob4KneAYbNh6OUnWyGy4E9Lgf2uBoKkK2KEIzPaOJETy8ne3o54e15JGNotFqsxhPcDkW6GyuQeygVt9uYdbuY9biYcbkYd9gfKxst1mqsxZKsxZKsx5JsJJJsxlPkHoJkjGoVg3YrgzYLgzYLAzYLAzYzPqv5Ef7i4SEIArlKjUhW5AiiuQKRXIFYrkg8X+xea49R+sikEsxaDRadBkuHFzB3omajRo1Jo8aoUaFXiZG1Xq1CpxJJWa1S8WOpbP42RrPVplyvU66L8FCxWqNQrVOsifBQrlIlV6mSL9dEnqBcJdPJgrLlymNlpRqlApdRj9Oox2XU4TKJWZfbrMdrNuK1GB/LDz08irU6/nSG3VQWfyrDTirDdjLNTipzyInbdFpGHDbGOkHCuMvOmMv+2O+/VK+zEk+wGI1xPxJjMRpjO30AVQ5ZLRzxeljo8XC0x8uo3XaoiLItCGymU9wIh7geCnI9FCRWErNZp07HmV4fZ/vE2fNQwNQWBJZTcd4N7vJOYJeb0RCNdhu9QskTvf084xvigm/oUKVvrFzg9eAWrwY2uBTxU2+3sKu1YuDnG+OMu7/bkrpQr/J6eIPvBVZ4N7pNvd3CpzPzqf5pPuWbPkT8Xkvs8NfB+7wWXqHcqtOrNfMZ3wKf7VvAqzUDkK2XeSVyl+8Eb7FRiKCSKnjeM8vn+k4yYxLtVbFR4bXYDV4OX8ZfjmGQa/mY5xSf8j6BR2v7280IJBKJHAgBxwRBCH6I+/8fQFEQhH/xo+6dXJgSFu88QCaRUWpWeDV68KZ1MjXPuY/zcc8ZhvQic56qFfhe+A7fCd7EX0qikSl53jbBP/jv/xX6e0tIrl+nOTnBlcQ23wnc443oKtVWkz6thY/1zvCJnllGjGI20Wq3uZEM8N29ZX4QXCVdK6OVK7jgGeGl3gnOe4YPNX66HPXzw8AGrwU2iVeKIiTk6OGZ3hGe6R1i1GTvGutKo8HVSIC3Azu8E9hlOyduBI/OwLkeH0/09nPW6zt0AEVbEFhNJrgWCnItGOBGOEim4xgcWh3HPF6OeXs45vEy5XAe6pkOoqriXiTKg4i4AR9EY2QqYtQlk0gYtlmZdDmYdDqZdNqZcDoeIbBBNODxYomtRIqtRLprGLaTaeKF0qF7nQYdPouZXouJPouJXrORXouJHrMRh173oYqYCtUaiUKpE/GWSRfLpIrlriHcN4bZsmgsP0wbCZVcJvIDCgWaTnSukssP8QMKmRS5VIZ8//hJiRjtS+CxbcHbnbmvLmq22zRa4rXebFFvNjs8gVhPUG00qNSblOuNbl3HBw2lXIZJIzo8s1Ykx606LRadBqtOi02vwWHQYdOLHMH74fUPj2a7TTRfIJTNE8qKEFHgoZkqHUiAJYDHZOg6/WG7lWGHjRGHFavu/dfJajzBSiLBSizBcjzBbjrDviVy6XXMetzMul3MedzMeVyY3qOKqzYb3I/FuBUJcSsc5nY03A2InDodJ729nOrt43RPL0OWw60qAoUcl0N7XAz6uRzyk6qK633C6uB83wDn+wY57u7p7pW2ILCYivJGaIvXg1s8SIkQUZ/exAt9o7zgG+O4o6e7bjO1Mq+HN3gluMrF6A71dguP1sjHeyf5hG+SOav3IMDMhvhecJEfhBZJ1IoY5Cpe6Jnm071zHLP1I5FIaLZbXEtt8nLoFu/EVmgILSaMPXy69xgveRbQK9RijUN+l+9FrvJ2/A61doMJg49PeM/ytPMIKpn4vf+tcwQSieQl4H8SBOH8+/xeB0gFQSh0fn4V+E1BEH7wox7bOuEUvvinv8Jzrid4xnUWq9Isfqi5bb4bvsy7ifs0hCYTBh8veU5xwXkEnVzTJVP+OnSLkf/lX/JTX7vMv/onP4X2F36Zj3mP0N/B04qNKq9FVvlu8D5XEzu0ERg1OHmpZ5qXeqYZ0Iv3NdttriX8fD+wwg+D66RqJZRSGU+4B3m+Z5xnvKPY1WIk0RYEHqSivBbY4PXgFsuZTqm7zsiFniHOe4c46/F1nQiIC/bdwC4XQ34uhfbI1cSFPmK2csbr47S3j1PeXuyag2jl4cjoZjjErUiIYF6M+pUyGbNOF/MuDwtuN/MuD73Gw4eHCIJAOF9gMRpjKRZnJZ5gORbvyu4AHDotY3Y7Yw47o3Ybo3YbI3brI4T0/tiPIP2pLHvpLP6MCAftZbKPOAm5VIrbqMdtMuAxGnAbDbiMelwGvRjJGnTYdNofCwcXBIFyvUG+UutE1QfEa6leF4u3anXKjQblWqMDBXVaS3QMdL3ZEgneTnuJVrtNsy3QFg76BwmCgMBBKcE+ebzvLGQSSbcYTSETnYpSLhMdzj48pBCnRikWtulUSrRKBXq1Er1KhV6txKBWYVCrMGpUqBXyH5s/SRTLxAtFYgUxu4rmi0QLxYPsq1A8xOFIJRLcRj19FjM+i4k+q4l+q5jh9Vst71tsmKlU2Eym2EimWE+mWE+kWE8kuwYboNdkZMrlZNLpYNrlZMbtxKk/rOhpCwK72Qx3oxFxxqKsJhNdSGvIYuGYp4fj3h5OenvxmQ7LocPFPNfCQa5GAlwO7REoiPJTh1bHEz39PNHbz5M9/YcCrEy1wsXILm+Ft3k7tEOyWkICHHF4ebZ3hOd6RxgzHwRx4VKOV0PrvBpa53rCT0sQ8GqNvNQ7wcf6Jlmw9SDtGP/VfJRXQkv8ILREoJxBIZXxlHOUT/TNcsE1hkqmEDmNQoTvhe7wSuQe6XoRs0LLi955PtVzjDGjGORm60Vei93kB5Gr+MsxNDIVzziP8gnvGUYNYp1VtJrgtehFxo1DnLQt/K07gj8ErgqC8DsP/Z8X+D1BED4ukUiGgG92fiUH/lwQhP/1wzz25MKU8NN/9ne5n1tBipTj1jmecz3BnHkSmURKvlHitehNvh+9xm5JTJ+ecMzxgvskC+YRpN/6NvzET+D/+Z/kX/z3L3EjtUUbgSlTLy965nnePYtdLaaPyWqRV8JLfD+0yJ10AIBxo4sXvFO84J1iyNBJ7dptbiWDvBJc5dXQOqFyTlw4tl6e7Rnlac8IY6aDNtSRUp43Q9u8GdrmcsRPqVlHIZVy1NHDU95BnvAMMGN1daOMVrvNcirOpdAeV8J73IiEKDfFNHzEbOWEp5eT7l5OeHro0R827rFikdvRMLcjYe5GIyzG49RaIldgVWuYdbmYcR5Mr/5RqWeqXBajuLgIBa0mkmyl0lSbB90+XXodwzYrQzYrQ1YLg1Yrg1YzHoPhfaP8aqNJOJfvRp+hbJ5IviAapXyBeL5I4z0YtgQwazXY9VrsOq0Y+eq0WB+ChcwakTw1adSY1Or3NVb/Rx6CIFBpNMlXxawn05GSZjozVaqQKZdJlsRsKVkqH1Jy7Q+lTIbbqMdjMuI26fEYDfSaRcK+12zCbTI8kknuj0arRSiXZyeTYSedZTuVZiudZjuVIVU+yBx0SgWjdjvjDhvjDjGznHDYH6l/aQsCe7ksi/EYi/EYD+JxFuMxCnURdtQpFMy53Cy4PRz1eDni9hzS9AuCwHYuw81oiOuRINcjwa7hN6nUnPL0csbr41yP7xDWX2+1uJsMczGyyzvhHe6nRIGGWanmSe8gF3qGuNAz1JV6tgWBxXSENyIbvBHaYCkrtnsZMdp5vmeMF3rHmbV4upH/Si7CD8PL/DC8jL+URiaRcMo+yMd6ZnjOO9mVtIfKaV6J3OOVyD12inHkEhnnHON8vOcITzjGUUjlNNstrqdX+GH0OldTS7SENpPGfl5yn+Zp5xE0chWNdpOb6Xu8FrvUtZOf7/0YX+r/1EenoGy/xUSkEue12EXeil8h3yxiV1q54DzN086zONU2BEFgrbDHDyLXeCt+h1Krymy8xT/7O7+PMD6G6tJVUKlIVPP8sPPhr+bDSJBw1DrIC545nnZNY1aKEXe0kuOVzpd5t+MUhvR2nvNO8qx7gmnzQcq3ko3xWmid18MbLGbEVLJXZ+KCZ4QLnmFOOwe6ZHO91eJmIsjboR3eDe90swWTUs0Zt4+z7n7Oun0Mmw4WbqPV4kEyxrVIgGvhILdiIQp1UWfv1uk55urhmNvLUZeXKdthSKjRarGaSnI/FuVeTHQMG6kkrc5asKjVTDmcTDmcTNodjNsdDFusjxiDVrtNMJdnI5liM5ViM5lmu2MEivUDzb9CJsNnNuEzm+g3d6JKs4lek4keo/GxJPX+aAsC6VJZjF4LJeKFIolCiUSxRLJYJlUSZ7pUoVR/tM5gfyhlMozqjmxUJUbVOmWnaEvRkY0qxChco1B0o3OVXIZStg8LyZB3CF/5ftdRiUgCi9BQp7oYsapYEHgIGmrTFoQuLNRstWi02tRbD0lIO1lItdGk3Oi0pW40xKyl3qBYq1OsiZlMsVYnX619IHxkUKmw6jTYdFpsei0OXYdk1+twGnQ4O1mWWaP+wKyiUKsRyuUJ5PIEsjn2sln2Mjn82Syh3OFmgWa1mmGblUGrhRG7jVGblVGHDY/h0eCi2mywkU6zmkywkkywHI+znIx3145CKmXC7mDG6eoa/xGL9VBQUWk0eJCMcTsW5lYszO1oqAv1WNUajrt7OOURM+cp20FzxrYgsJyOczXm51LEz7VYgHJTrMmZt3l40jvA+Z4hFmye7vPl61UuxXZ4O7LFm5FNktUSUomEo51g7znvGENGscFcS2hzNx3gtcgKr0dWCZWzyCQSTtoHecE7xfOeSSwq0a7EqjneiC7yauQ+iznRrsxb+nnJs8Bz7llMSm0nQwjwWuwmb8XvkG0UMSv0POc6zouekwzoRLl8oBzhjdgl3klcI98sYlNaeNZ1jmec57CpzB+tFhPeabfwB6//HmdsT2JUmLre7/X4Je5nVxEQmDWNc8F5hlNWER+rtepcC9xk9MUvoYsm+Y3/8NOYRqZ4xnWMC84F7CozALvFOD+M3OeHkfvslZPIJFKOW4d41j3Ledcklo5cNVbJ81pkhdciK9xKiamgW23kgnucpz3jnLQNoOwohaLlPG9FtngjvMHl2C6VVgOlVMZJh48n3UM86R46lC0kKyUuRf1cDO9yOeonVOocMK/Rcdrl46Srj9OuPkYecgytdpvVdJKb0SA3oiFux8KEO+oipUzGjN3FgtPDvNPNvMNNv/EwkVxpNFhLJXkQj7EUj7GcTLCeSlLvGBqFVMqQxcq43c6Y1c6Yzcao1U6v0fhItC8IAolSiZ10lp10Bn8mw24my142RyCb6ypI9odVq6HHaMRrNOA1GvEYDXgMIhzkNuhx6D5cp9Fas0nmIdI0V6mSrVTIVUQ4KFetdg1pqS4a1VJHMlquN7rv9b+VoZLL0CmVIkSkVKLv1DoYOs7MqFZhVIsEuFmjwaRRY9FqsHT4gveL4h8etWaTeLFErChCRJFCgUihQDgvzlAud0gEAKBXKvFZzPjMJgatFgYsZgYtFgasFqyPUf80Wi32clnW0yk2UinWU0nWUkl2spkuBKWRy5mwO5hyOJlxOJlxuhi12Q+9h1a7zXYuzb14lLvxCPfiUVbSBxDRgNHMUbeXE+5eTrh7DoksWu02K5k412KB7szVxexoyGjlrLufJ7wDnHH7MHVa17fabZYyUd6NbfNudJvbySAtQcCoUPOEe5BnvKOc9wxjVYlZQqlZ42pimzeja7wVXSdTL6OQyjjrGOI5zyRPu8cPGf83o4u8Hl3kXlaUqY8bvTznnuVFzzxujRmAcCXJG7HbvBG7RaASRyGRcdo+wwuuExy3TiCXyig2S1xO3uKt+BU2iruizbLM8azrHHNmsetCshZHKpFhU9k/Oo6gb6ZH+MQfPYMUGXPmI5yzn2fKOItMIiNRTfFW4ipvxa8Qr6XQyNScth3hKftJpv+Hf4bkj/6Ywre/xqsLNl6P32K9EECChDnzMOcdCzzpmMes1Ivn/xYivBZ9wGvRBwTLaaRIOGId5GnXNOddU7jUYqFZtl7mreg6b0RWuZzYotJqoJUpOesc4rxrjCddo92Kv1qryY3EHm9Htngnus1mXiyhcKr1nHMPcs41yFnXAC6NeL8gCOwVs1yJ7nElusfV6B6xiqiGsKo0HHf2ctLVyzFHL9NW16GNEy0VuB0LczsW5m48yoNErAsJmVRq5hwuZuwH02c8jK022222M2lWkglWkwnWUknWU0nChYNKYpVMzqDFwojFyqDFwpDFypDFyoDJ/FjOQBAEUuUygWyeQC5HMJcnnBN/jnSMz8NwE4hQkFWrxanX4dTrcOhEnsCu7UBDWg1WrRaLRoNFoz4kI/xxRrPdFsnahhid1xpN6i2RyK03WzTbYhTf7ET1rXa7Uyz2kHyUwxzBfosJmVSCVCLtkM3SLk+glMm6hPQhjkCheKS1+Icd1UaTdKVCplIhXa6Q6sBD6c41XiyRKJWIF4tkHgMV6ZQKPAYDPSYjPSYjvSYjPUYjPrOJXrMJs/rxGUSuWmU7k2Ynm2E7k2Erk2YrncKfy3bhPQngM5kZt9kZs9mZsDuYdDjoN5kPvd9Wu81OLsNiMsZiMsaDhHgtdYIIvULJrMPFEaeXIy4PR13eQ+eFVJsN7qWi3IwHuREPcisepNAQMw2f3swZt4/Tbh9n3D7c2oOamr1ihsuxXS7FdrgS2yVTF7OLabOLpzzDXPCMsGDr6RZ2BksZ3olt8E5snWtJkRg2yFU86RrlOc8kTzhH0HV4v71Skrdiy7wZW2QpJ+pnRvRunvXM8Jx7rstRJqpZ3k7c5a34HdYKewDMmoZ5znWcpxzz6BUamu0W97LLvJ24xs30PRpCkz6Nh6ddZ3nKfhKT0kijXede9jaXkm+zUljkvONZfrr/lz46juD48ePCyxe/w6Xk21xNvUuhWcCkMHPKeo4ztifxaHpoC21W81u8lbjC1dQdznzzDr/x/3mb+/+nL2L8f/1L+rXiAdHBcpw347d5M3aHQCWOFCkLlhHOOxY4Z5/F9JBTeCO2xBvRRXZLovZ/0tjDedcUTzknGdaLh8lXWw2uJ3d4K7rO29F1olUxmp80uXnSOco55zDz1oNis3A5z6XoNu9Gd7gc2+kuvGGDjdPOfk67Bjjp8HVJ533HcC0a4Fo8wI1YkL1iFhCN8rzNzRFHD0cdXo7YvTi1BwRYo9ViPZPifiLK/XiU+8koa+mDg0EMSiWTNidTNidTNgcTNgejZtsjcr9CrcZmOsV6OsVWOsVmRoSEAvkcD68mu1bLgNlCv8lMv8lMn8lEn1Gcdu3j6wwEQSBbrRIriNFprCBGq/FisWvAEsUSqXLlEf37/tAqFJg73IA4VRhUKoydq16pRKdUolMq0Hcibq1ChIQ0CgVquRy1XISF/rYkpc12W4SGOhBRuQMLlRtNyo0ONNTJYor1OoWamOXkazVy1Rr5apVstUq2Un3Eke4PhUyGveNQHXodTp3oWF0GPU69Ho9B5Afej/RvCwLxUpG9XI5gPsdeLsdeLstuNos/l+mq1UBUnPlMZkasVoYtNkasVkZtdkYs1kfXU73GejrJajrJckqEh1bTCSqd96GSyZmw2Zl3uJlzuJl3uhkyWQ+dCRIs5bmbCHM7GeJ2IsxSKkZTENfHiMnGSVcfp5x9nHT14tEdyEcj5TxX436uxf1cie8SLIl8gkuj55xriCfdg5x1DXb3X7XV4FbKz8X4Jhdjm2wXxUDOp7NywT3GBdc4R20+FFIZbaHNSi7E2/EV3okvs13stJo3ennGNcPT7plDxv/d5D3eid9jKb8jvm59D884j3HeuYBTbenAQ9tcTN7kUvImhWYRg1zPOftxLjhPM6QTa6n2yjtcTr3LjfQVyq0SVqWNs7anOGs//9HKCEbnB4VL197Bqe6jJTR5kLvL5eS7LObu0qZNv3aI07YnOG45hUFhpH7jGvInn2L3+BD/+P99gZYMejRunrSf4Kz9OB6NUySZSmHeit/lnfhdwtUkUqTMmYd50jHHWfssdpWYAewW47wVW+bt+HLXs3s0Fp50TPCEc4Kj1kGUUrHoYy0f493YBu/GN7ibDtASBHRyJafsg5x1DnPWMYxPJ6aw7Q63cDm2y9X4LjcSAUpNMYoZMdo56fBx0unjuL0Pj/ZgMcfLRW4lQtyMB7mVCLGUjnUjMK/WwILDy7zNw6zdzazVjUF5sNFrrSbr6SSLyThLyRhLyThr6WSXiJYAAyYL41Y7YxY7Y1YboxYbAyZLt/qx+1jNJru5LLvZDNuZNLtZ8ee9XK6r6d4farmcHoNRnEYjXoMRr96Ax2DArdfj1usPNet772gLArlqtRvxpssV0uUy2UqVTKVKtlohVxW19vlajXy1Rr5W7RbUfdghk0jEFhMykSNQ7EtHOxyBrBPxd1tMdP7uoMDsoMVESxCziEb7IfloS5w/bndSnVKBQaXCpFZjVKlEUlwlQkQWrRqzWoNNq+lmSzatBoNK9YFcQKleJ1YqEi4UiBQ7EFEhT6iQJ1QoEM7nqbcP4DMJ4DUY8ZnMDJjNDJotDJjNDFms9BkfbTFeaTTYyqXZzIhBxHomyWo6QbDwUIGiUsWkzcG0zcm03cmM3cWw2XrosTLVCvdTEe6notxLRribjJCsiuoztUzOnM3NMWcvx509HLX3dOt2BEFgr5TlZiLA9YSf6/E99kpZQOTjTjn6OePq56xrkGGDrcv3bRTiXI5vcTmxxc2kn1q7iVIq47htgKdcozzpGukqCcvNGjdSW1xMrHIxsUaqVkAmkbJg6ee8c4rzrik8GrFzcLiS5FLiAe8m77GSF+GhQZ2H844FzjuP0Kt1iIVx5RCXkje5lLxBopZGIVVw3DLHU46TLJinkUtlZOpprqcvczV1kUg1hFyi4Ij5OGfsTzJhmEaChDZt5NKPUPdR77RV+KWvXKBPO8pRyzPMms6hkevJN3LdDyNY2UOKjKMM83M/8dso21Ikd+6SM6m4mrrNpeRNVvKbAAzq+jhjO8Zp25GuU9gqhnkncZeLifsEKqInnzT2c9Y+y1nbDH1asXV0sprnYmKNd+MrXE9tUms30ciUnLANc8Y+xlnHWPeLLzSqXE1sc6mzqELlLAAejYnTjkFO24c4aR/AqRGNfKPdYikT7UYst5NBih3H0KszcdzexzF7L0dsvYyZHN0IqdpqspSOcTcR5k4yzL1khEAx1/38hoxWZqwuZmwuZqxupqxOzKoDbLctCOzls6ykEqymE6ymkqxnkvjz2a7Bkkkk+Ixmhs3W7hw0WRg0W7CpH432K40GwXyeQD5HIJ/t/hzO5wkXCqSrjx6aYlKpcen1uHQ6nDo9dq0Wh7YDDWlEaMiq0WJRf/iWy812m1K93uUIivV6N/KuNMQoXCRuW1SbzS6ZW28dQEONdks8W6BzMlmrY/Dfa8z3HYSsCw91YCHpQ9XF0k51sUyGWi5H2clGtAqx15GuQ15rFQpRPtrhCz7s+220WmSqFVKVDkRULpMsl0iWS8RLJeJlESKKloqHCP794dDq8BoM9BiM9JpM9BqMYlZnMtFjMD4CwwmCQLxcYjuXZjubYTubZiubZjObIlTIdzNGuVTKYCfAmLA6GLfambQ5HlG8JSolltIxltIxFlNRHqRjBN+zlhfsXo7YPSw4vExYHN1su95qsZqNcSsV5HYyyM1EgHhVDEjMSg3HHX2cdvRzyuljwuzqyjuD5QzXk7tcTWxzLblDqiY6mSG9nbPOYZ5wjnDc1o9Gruw4lySXk+tcTqxxO71DQ2ihk6s4Yx/jSecEZ+3jXcJ3sxjkSnKJS8kHbJfElvQj+h6ecMzzlGOePq1of/bKYa6kbnMldYtwJdYJSid4wn6CE9Z5tHIN5WaJO9kbXEtdZqMocqPDujFO285xzHIKrVxHoZHhXvYdbqXf4IjlAuddP/HRcQRHjx0RfusH/wu3M28Qq+4hlyiYMJ7giOUCo4YFZBI5wfIe15MXmfy5f8Lo5T1+6/c+gemplzhhOcOkcQaFVEGqluFK6jaXk7fYKIrpWL+2lzO2I5yyHaFX6+l8KTEuJh9wOfmA9YLI6vdoHJy2TXPGPs20cRC5VCamjeltLiVWuRRfI1LNAjCgc3DaPspp+yhHLIMPLaA0VxLb3QWXb1Q799s4YR/guL2fE7YBXB3H0Gy3WcnGuJkMcDMR4FYyQKITCenlSuZsXhZsPSxYvczberrpLEC6WuZ+KsqDVJT7qShLqSjh8gHW79UamLQ6mbSIc8LioN9geaQ971Y2w2Y2xWZGnFvZNLu57KFI0aBUMmC04DOa6Td2YCGDCAl5dIZHOkaC6CgixQLhQoFYqUi0WCRaLJAolYiVisRLovF6r5QUxMjUpBajYEvnalaLEbJRJUbMRpUKvVIkWfVKFXqFAq1ChIi0CsVjX9N/C6PRalFuNCg16pTq4rVQr3XhoXytRqEuEuHZWpVctUa2WiFbrZKuVLqyy/cOpUwmQkNa0ck6dTrc+v1szICn8/Pj+JZ6q0W4mCdQyLGXz7GXz+LPZ9nNZfHnM11IB8TMb8gkBgojFiujFhsjZjGjfJjPqrda7OTTrGYSLGfirHRmonJQZ9JvMDNjdTFr8zBnczNjcx9qBx+pFLifCnM3HeJOMsSDTKTLiXm1Ro7b+zjh6OOYvY9Rk+OQ4b+Z9HM9tcuN5C6Riuho7Cp9N0A77RzC0znbpNCocDO9zdXkBleTG0QqYuHngM7BOcc4Zx3jLFj6UUjl1FsN7mU3uZJa4mpqiUQtixQJ06ZBztpnOWefxaOxdRCJPa6l7nA1dYdINY4ECdOmMc7ajnHStoBJYaDWqvIgd5cb6Sss5e/TFJo4VW5OWc9ywnoWp9pFo11jJX+DO5m32CyIKEmfdpQnHJ9l1vwROqpy5si4cPfWfWQSJeHKNncyb3Ev+y7lVh6tzMis+Szz5qfw/ZtvIPkn/4TY//aPee2Lw9zO3KDUKqKVaZk3H+OY5RQThmnkUjmJaopr6btcSd1mvSCeEuTVuDhhneekdZ4R/QBSiZR4NcO11DKXk4vcy26I3l+m5rh1gpO2SU5YJ7EoDeJh8qUEV5LrXElscDezQ63dRCGRMWfxccI2wknbCBNGL/IOnriai3I9ucv15A63UnsUm+Im7tNZOGr1cczWz1GrjwH9QdoaKGW5nQxyJxXiTjLIai7elYH2aE3MWT3MWr3MWN3MWNzdpnkAqWqZ5XSMpXSc5XSMlUyc7Xy6+/dKqYwRk40xs51Rs128muz06k2HDGer3SZYyLOdS7OTy+DPZdnJZdjLZwkUct3HAzGT8OgN9OhFWKhXb8SjN+LRGfDqDbh1BgxK5QfyB8lymVSlTGr/WimTrVbJVCpkqpVDRvH9DOF7h1IqnguglstRy+Td6FzVIXSVXVjoQDoq78hHpZL3rywWEKWEIjQkPAQNPSQfbXVI6ZaYhezPSrPxvjzIw0MCGFUdx6dWd52hVaPB0rlaOxnU/jQoHw8TCYJAtlYlWioSKeYJl0TnHC7mCRXzBAt5oqXCIS5IKZXRZzSJTt9oZshsYcBkYdBkwas3HiKB660We4UMG7kU69kk69kkG7kk27l0F9NXSKWMmOxMWpxMW51MW11MWp1dNQ9AslpiMRPhQVqc99PhblCklMqYtrg5YuvhiL2Xo7Ye3B0otSW02czHuZ3e41ZqjzupvS6PZ1FqOW7r54R9gFP2QYYNopKv3m6ymN3jemqL68lNlnNB2ghoZUqO24Y5bR/ljH2MHq3YODJezXA9vcK11DJ3MxtU23XUUiXHrOOcsc1wyjaFWamnJbRYyW9yPX2PG6l7JOtppEiZNo1xxnaUE9Z5zEoj9XaNxdx9bmWu8SB3h3q7jklh4ZjlJCetZ+nXDiLQZrv4gHvZd1nKXaXWrmBS2Fgwn+eI5QIOda+4Vj5K8lHfjFH4n75xgVHDeSZNz+PVzNCmzXrhDvcy77CSv0HftRC//OuXiH3qFPz5n+HWDNKmxXJ+kVvpa9zL3abSKqORaZk3HeWI5QRTxhkUUiWpWpab6XtcS99hOb9BS2hjVhg5ZpnluHWOWdMEKpmScrPKrcw611PLXE8vk66LEfaovpfj1gmOWyeYMg50s4W7mV2upza5ntxkvRABQCdTsWAd4Lh1iGPWIUaNHmQSKa2OY7iZ8nMr6ed2eo9MXSzQsSi1zFt7WbD0sWDtY9rs7fYqrzQbLGYi3EuFud/ZIIEODgrg05mZsriZsriYMotXp/qgg2i11WQzm2Q1m2Atk+hu1shD2YNSKmPAaGHYaGXIZGPQaGHQaGXIYMWsUj+iPAoXO5BQIUewIEaSoaKIPcfKxUcgFa1cgVunFyNVrRi1OjQ6HFoddo1ONGZqLRb1j+602Wq3KdRrFGoPRdJ1UT5a6mj0K80G5UZDNL6NBtVWp6K4Y6D3Z7PV6uL7rXabpvAwNHRQO9BtOsd+ZbGoGBIri6XIJfvwkKyrHFLKZKhlnepiuagaUss60JC8Aw3tk9wKpUh+Kw/I7x+lMKq1RCVRqlImUSmRrJRJlEskyiI8lCiXiJVFiGg/it4fcqkUt07fdd59BhO9BhN9BhM+owm3znDo+QVBIFEtsZvPsJNPs51Ps5UTr3uFbNfgg9imYdzsYNRsZ8LsYNziYNhk7cI7giAQLudZykRZzkZZzsRYykSJVgqdzxgGDTbmrF7mrB4WbF4mzK4uf1VoVLmfCXIvHeROOsD9TLAbYDnVBo7ZfBy3DXDM5mPY4EAqkdJst1jOBbmZ3uZWepv7GZEXkEmkTBp7OGUf4YRthDmzD7lURq1V50Fum5vpNW6mV/CXxeIyt9rKSesUp2xTLJhHUMoUlJoV7mWXuZm+z+3sIqVmGYVEzpx5klPWBY5Z5zAq9FRbFR7k7nInc4PF/D3q7ToGuYEjlpMct5xiRC8e9xIor/Mge5EHucsUm1lUUi3TptMsWM4zqJsGBPZKt1jJv8qA7gRT5hc/Oo5g7uiU8C9e/gU2C+/SEKoY5C7GTc8wbnwGu2qQ2t4m0uMnKRll/Ns/PUdVK8Wu6mHWdJZZ81mcKh9NoclKfpHb2evcz96m3CqjkqqYNs2zYD7GjHEerVxHsVnidmaRm+n73M0uU2lVUUgVzBjHOWaZ4YhlBqfaRltos1UMcT29yq30Kku5Xdq00chUzJuHOWoZ56hlHF+HW8jUi9xMbYuLLbXNXllUH+jlauYt/RyxDLJgGWDS5EXRIZ53iklup/e4mw5wJxVgt5QCREMzYnAyZ+llztLDjKWHYYMDmeSg98liJspiOsJyNsZiJspe8aChl1WlZcLsZNzkZNzkYNzkZNTk6Ba8AeTrNbZyKTZySbZyabZyKbbzafyFzKGI36hUMWCw4DOY8enN+Axm+vQm+vRmPDpDd4Pvj0arRbxcIlIqEC4WiJYKREtFEQ4qF4l3DNT7KWGMShVWtaYLC1lUmm50bFKpManUGJSi0dQrlRgUKlEtpFCikv147Rn+aw5BEKg0GxQ7MFGxXqPQcWr5eo1crUq+ViVXq5GtVcnWRHgoU6uQrlQoNh5fbKdXKHFqddi1Otw6PS6tHpdOj0cnwkNevQGH5tH+T7VWk3ApT6CYY6+QJVDMslfI4u/MfZEDiIFDv8HMsMnGiMnGsMnGqMnGkNF66KCmQqPGei7BWjbOei7Oai7OajZOoSEabqlEwpDBxrTFzZTZxYzVw7TFfXD2eLvJRj7Og0yIB5kQ9zNBdorJrqR31OjkiNXHgrWPo1YfPVpzV+m3lA1wN7PLncwu97N+qq1O1b7BzXHrEMdtwxy1DKJXqGkLbbaLYW5l1ridWWcxt0O93UAhkTFrHhbRAesUPq3YnyxciXE7s8itzANWC5u0hDYGuY6jlhlOWOeZM0+ikanJN3I8yN3hbvYWK/lFmkITo9zEguU4R80nGDVMIEVKsLLJYvYSi7nLZBtJ5BIF48ZjzJmfZNxwDLlEQay6ylr+Ddbyb1JpZVFLDZy0/xxHbZ//6DiC+aNTwt1bizSFGluFy6zmX2evdBOBNnZpP5/+uYvol4JIrt+gNNbDYu4qi9lL7JSWEWjjUPUwbTrDlPEUXs0QbVqsFVa4k7nJvewt8s0cUmSMGSaYNx9l1nQEu8pBo91kOb/B7cwDbqUfEKt1DrPQuFkwT3PEMsWkcRSlVEGxUeFOdoNb6VXuZDYIV8V7bUoTC5YRFsyjLJhHcWv208kct9M73E7vcCezg78k3q+SKpg29TJn6Wfe0s+MqQ+TUtRLZ+tl7qWD3MsEeZAJ8iATotCJdjQyBRMmN9NmL9NmL1MmDwN6G3LpQVfElWyc5WyMtWyMlWycjXyCaicalAB9OjMjJjsjRgcjRjsjRhtDRnt344FIaO8VsuwWMuzkM+zmM/gLGfaKWULF/KHoTyqR4NEa6NEZ8XamR2fEqzPg0Rpxa/VYVJrHQizFRp1kRSQ6xai2TLpa7hKh2VqFTLVKplohX692q6w/aEglEnSKTsQtV3Qkow9BQzI5SqlI5IrE7kMN5yRiwzmZVIKEfeXQB1QWC+3utfmwcqgDDdU6WYeYjTSptkRoqNLJUkqNOj9qp0oQVTdmtRqzSo1Z1YGGOvCQTa0VSXaNDodWi12jPWSI90dbEEhVy0TLBSKlApFyByIq5QmVxGwuXik+Ag/16k30G8z0GywMGCwMGC0MGa306A4XHWZrFTbzSbbySTbzSTY610j5QD2klysZNTmYNLuYNDuZMLuYMDu7mW+93WSrkGA5G2EpG2YpG2Y9H+tyVRalljlLD7OWXhYsvcxaetArRGgpVStwP7vH/Yyfexk/q/kwTaGFBAnDBhdHLAMcsw5x1DqIWakTIdhynHvZTe5kN7iX2STfFGGoAa2bo9YxjlkmmDMPo5YpqbSqLObWuJtZ5k52iURNDNj6tF6OWmY4ZpllzDCEFAnRapj7uTvcy95mp7SJgIBNaWfefIwj5hMM60cBCJTXWMpdZSl3lWwjgUwiZ0Q/z6z5LJPGU6hlWpK1Hdbzb7Kef4tcI4xMomBQf5oJ43P0604glyo/WtDQ0KxO+Fd//SwD+hfpN7yAWTlCpZVlo/A26n/0m4z/3h2+/y+myX7+KcYM5xk1nMeodFNsZFnKX2Uxd4Wd4hICbSwKJ1OmU0yZTuHTjgMSdktb3Mve5l7uNtGqyOx71b3MmhaYMS0wpB9BipRwNcadzBJ3s0ss5zZoCE2UUgWTxlHmTZPMmifwab1IJVIilRR3MuvcyW5wN7NBtiGqF1wqC3PmYebMI8yZh/GoRfw/VStwL+PnbmaXexk/64UIrY5RHdA5mDX7mDb1MmPuY0jv6vIM/mKaxWyIxc7mWM1FqXSiG7VMzpjRxYTJzbjRzbjJxZjB1S14abXb7JUyrGUTbOQTrOcSbOaT7BRSh0hap1rPoNHGkMHKgN7KgEGcfTrzIUlps90m0okag8UcgWKWUClPsJQnXBKx5ocdBYgGxaXV49TocWp0ODV6ERbSiLCQTa3FptZhU2kea8Qefu5CXSRT9x1Dvl7rRtOlfQK20aDabFBudqChjo6/1hbhoXpbNNRia4gW9YdgoX0j/6Okn9KOckgikaCQig5k36koZNKuwxGdjwgRaTqOSSvvqIbkim4mo1eI7TEMSmU32zGp1OgV768mEgSBUrNOqlomWRV5lWS1RKIiznilSLxS7P78XlJeKZV1HLfoyHv1Jno7mV6f3oRbexgeKjfr7BUz7BYy+Itpdgri3C6kSNcOehCpZHJGDDZGTA5GjXbGTA7GTE56dKbu42XrZdbzMdZyMdbyUVZzUTby8e7a0ctVTJk9TJu9zJi9zFp68GrMXXx/PR9hKRtgMRfgQXaPcIfcVUhkTHWCrAXLAPOWfowKTVcgcj+7Jc7cZhf2dajMLJhHOGIZ44hlDLvKREtos130cz+7wv3cKmuFbVpCC5VUxaxpnCOWaY6Yp3GobTTaDTaKqzzI3WUxd5dETVQk9mn6mTcfZd58jF6Nj5bQZKe0yHLuOsv5axSb2Y7xX2DGdIZJ4wk0cj2pmp+Nwtts5N8mXfcjQUqf9ghjxqcZMTyBUqojWV3EX3wFl+YYPsMzHx1HMHd0TPitlz9BpHwNgRYm5RD9+ucZerWO9qd+g/rf+2Ue/OYLrBfeJl5dB8CpHmPU8BQjhicxK3soNXOs5G+ylLvCVvE+LaGJVmZkwniMCeMJRvTzqGQaYtUoD3J3uJ+9w2ZxnTYttDItk8ZZpo1zTBlnMSst1Fp1lvLr3M0ucz+7Qqgi9hcyKQzMmMaZNU0wYxrDqRL1xrulKPeyG9zLbvEgt0WuIUYYNqWJGdMgM6YhZkyDDOo8yKQyKs06y7kg97J+HmT3WMoGyDbEDaWWKRg3epky9jJl6mXS1EOv1oq0wzXsFJKs5CIsZSOs5qOs5aJdhRJAr9bMmNHFiNHJiMHJqNHJgM7WbZHRbLfZK2bYKiTZyqfYzqfYLqTYLaS7BXAgRqRurRGf3oJPZ6ZXZ6ZPZ6ZXb6ZXZ8Kh1j9SPZqoirBQtPzwLB4yTPn3IXzVMjlWlQaLWotZKUbAZpUak1KcRqUKo1KEhvSKDiykEDF2nVz5N6oU+iD56N/UaLRboiNr1MVrU4SGCvUa+Ybo8HK1Krm6ODO1CtlaVcycapVDyq6Hh1mpxqk9cLwurQGP1oBLq8ejFQl8u1p36LtrttvEKwWCpRyBUpZQKcteqQMRFTNdmeb+sKt1DBlsDBqsDBlsDBvtDBtt9OoOKoorzTo7xSQb+TibhQQb+Rgb+XiXzAWwKrVMmDxMmNxMmT1MmTz06Szdtb5bTLCSD7GSC7KcC7Kej9AQxPftUBmZMfcxa/YxZ+5n3OhBJVPQaDfZKARZyu+wmN1mMbfTjfhtShNz5mHmzcMsmEfxasT9G6xEWcqt8SC3xlJujVJL3AeDuj7mTJMsWKYYNwyjkMpJ1uIs5e+zlHvAWmGJWruGQqJgzDDJnPkIs6YjWJU2Ks0i64XbrORvsF64Q61dRilVM2Y4wpTxNOPGY6ikGpK1HTYL77JZeId03Q9I6NHMMmo8z6jhKTQyM9n6Bv7Cq/iLr1FqhpFJVMxYfpkZ20eosvjIsUnh9s0lau0cgeIb7BZeobpylZc+t0RpzEr4+/+MPuuLGBS95OoRNgrvsFl4h1h1DQCbapBh/RMMG87iUI1Qb1c7X8B11gq3qbZKyCUKBvUzjBuOMW48hlXpotIqs5xfZCl3j6X8fXKNLAA9mj6mjLNMGmcY0Y+jlCpJ1TLcz61yP7vCYm6NbENczHallWnTGNOmMaaMozhVNgTECORBdpv7uS2WcjskauJja2QqJgw+pkyDTBr7mTT2Y1SI6WqokmYxG2ApF2A5F2I9H6bWFqEdvVzNuNHDuLGHMYOHcaOHfp0Deeds00glx1o+xlonulrPx/CXUl28XyaR4NNZGdI7GDLYGdTbGexcDYoD9UauXmGnkO5Ef2n8xQz+YoZgKdtVcewPpVSGW2vEqzXi1ZpEI6MxikZHI06LSvsI8VltNUlWSp1oVrymOrBQuiYauX2jl61VyNWrh3iL9xsqmRhxa+UiPKSWHcBCqk6UrpTJUUilot7/IdWQVCJF3jH0B8qh9xSUIRzKGvZVQ80uPNSi0e6Q0Z1rrSXCQvvQ0H62Um423teQPzwUUikmpQaTSoVFqcGsEqEhi0qLTa3BqtZiU4nwkL2TXT2umWC6ViZaKRCt5ImVC0QrBcLlPJGyCA/FKoezOQng0hjo05vp11vw6S0M6K306y30G6yH4MRMrcROMcVuMcl2Mcl2IcF2IUmwfHAmgUIqY1BvZ8zoZMzo6maydpW+G+nvFOOs5cPduV6IdLF9rUzJhLGHKXMvM6Y+pk29uDr9e9K1PMv5XVbyfpbzO6wXgtTb4t951XamTYOdLF3M0EHE+ZfzGyzl11nMrZPr7GeHysaMaZx58wQzpglMCgOVVoWNwgrL+UWW8w+I18Sg0Ka0M2OaZ9o4z4RxCoVESaIWZC1/i7XCLfylFdq00clNTBiOM2U6xbB+DplERrSyylbxIluFS+QaYSRI8WpmGDWKwa1WZiVX32Kv+Dp7xdfJN/xIkOHSHGfA8BJ9+qdQSPUfLWhofE4t/KfvnsSp+zgu3ccxNIYQTp+gHQly6bsfI2QXq/QsqnF8umfo0z+NUdlPvhFjq3CJrcJFwpVFBNoY5E6G9GcYNJylVzsHSPCXVljN32Q1f5NUXVT3OFS9jBuOMmo4woBuSqxVqOyxnH/Acv4+W8UNmkITuUTBiH6MCeM0E4ZpfNoBJEgIVaIs5tZYzK2znF+n0I04LEwZR5kwDjNpHKFH40aChHgtw1Juh8XcDsv5XXaKYdqdbdKjcTBp7Gfc4GPc6GNY50UpU9Bst9guxljJh1nNhVjNh9gsRLvOQSmVM6R3MWpwM2pwM9KZ+91V660mO8Ukm4UEW4UEW4U424Uke6X0oU1vU+no19kY0Nvw6az4dFb6dBb6dNZDTqLabBAsi5BQuJwT8eXONVLOE68+qhhSSKU41Hqcaj12jR6HWoddrcOu0mFX67GqtFjVWqwqLSbF4wvJBEGg3GyQr1fJ12sUGp3ZgYZKTRESKneu1VbjAI9vNah1Mftm10B3JZ/ttlgh3DHmH3b37MNDso5iSFQOyVBKO9CQTNbhI+RdB7V/1XSmTqFAJ1ei72Q1eoVKhIYUqm72o34fArzZbpOti44zXSuTqpZEp1oTr4mqmH0lqkUS1eIjjlQukeLSiFxOj86Et3Pt7WR+Xq2xCwsKgkCuUWGvlCZQyrBXSrNXTOEvpdktpsg1DrJIpVRGv87GsMHBsNHBsMHBiMGJT2ftHsierBXYLETZKsbYKETYyEfZKcW7UKlWpmTU6GHS2MOEsYdJUw8+nR2ZREqlWWOjGGStsMdafo/VvJ9YLdN5TzJG9L1MmwaYNg0ybRzEqjLSElr4SyFW8pusFrZYyW+Qa4jQkEVhYto0xoxpjBnTOC61g2a7yU5pi9XCEqv5JXZKm7Rpo5QqGdVPMG2aY8o4h0vlpt6usl1aZKNwh/X8bTINERpyq/sZNx5nwnCcXu0oLaFOoHSb7eIVtotXqLSySJHTp1tgxPAkQ/qzaGRmMvV1AsU3CRTf6Bh/KQ7NAv365+nTP41KaiRbvUGs9D2smjO49B//6DiC+aOjwp98/1lSlYsIQp2Z/2sBxzdilL/z22g/8WuUm1H2im+wV3yDVG0RAKNigD79BXp1F7CqJqi0cuwUr7JdvMRe6TZNoYZSqsWnO86g/jQDuhNo5RaStXDXY++WlmkJTRQSFYP6aUYNRxjVz2NX9VBv19gorrGSX2S1sESoIhaeaWRaRvXjjBkmGTNM0qsR+4EEyhFW8hss5zdYyW92MwadXMuYfohJ4zBjhiGG9f2oZSoqzRrrhQDL+V1W835WC/4ubimTSBnUeRgz9DFq6GNU38ugztN1Dv5SgvVChLV8hM1ClPV8uAsrAdhUBob0zs50Mah3MqBzYu6Q0o12i0BnE+8Uk/iLKXZLKXaLqW7V5f4wKzX0aC30as3dq1drxqMx4dGa0MkPIsNmu02iWiRaLhCriFFnvFIgXi2SqBSJV4skqyUytfJjDa4EMCk1mJUaLCpNBxLSYFTsQ0NqDAoVeoUKvbyDrctFI6qVi/CQUir7L4Zv2vuVxe95lVIOMob/kiEIAtVWk3KzTrnZoNSsifBQs06xceDo8o2qCA/Vq+TqYmaUqYtE+sNQ4KHXKJFgVWlxqHU41HrRCWv0uDUGnBoDbq0Bt8aA/T2wXqFRJVzOEq7kxGs5S7CcJVjOECpluqKF/eFSG+jX2xjU2ztXGwN6Oz1aMzKJVGxGWC+yW4yzU4yzXYyzXYyxXYyTe2itOlTGTiDjYczoYczopa8Dg1ZaNbaLYTYKAdYLQTYKAfbKse734lRZmDT2M2HsZ8o4wIi+pyPpLLNR2GW9sM1qYYuNwg7Vdq3zfFYmjCNMGUeZNo7hVjto08Jf2mW9uMJ6YYXN4hr1dh0JEnzaQSaNM0wapxnSjYrRfNXPZuEuG8W7+EsrtIQmSqmaId0MY8ZjjBuOYlY6yDdi7Bavs1O8SqB8h5ZQRynVMqA7xZDhLAO6kyikapLV+wSKbxMsvUWpGUGCFKfmKD79M/TqLqCWmcnWbpMo/YB4+RXqrQRSiYZB899jwPzrHx1HcOToqHDr5n1aQp3yv/u/YfqH/4Gdf+hg5x9YUMt7cGhfxKl9AaNqnkor0f3Q4pU7CLTRyp306J6kR/sULu1R2kKbQOkOO8Ur7JSuUWqmAAku9RgDupMM6E/iVI/RFBpsF0VvvlG4280WTAo7w/o5RvRzDOpnMCqs5Bs51gsrrBaWWCuskKiJ2mKtTMuwfoxR/QSjhnF82gGkyIhWE6wWtljNb7JW2O5yDFKk9Ot6GNEPMGYYZEQ/gFfjQoKERC3LWiHAemGP9UKAjUKQQlPcNDKJFJ/WxYi+h2F9D0P6HoZ0nm4TvVS9yFYhymYhxnYxxlYxxk4xTqV1oLaxKHUM6Bz06xz06+z4dA58WhterQWFVIz+So0ae2Ux8guU0gTLIiwULGcIl7OPkMFGhRqPxoRbY8KtMeJUG3CpjTg1BpxqAw61AZNC80gtQrpW6kSyZVKdqDZTK5Oti7BQrl4hUxcVQ/sG8cOsbKlEglamQCV7CBqSdRRD+/CQ9KFiMomoGhKhIekBJNRRDL0XGtqvLxCzCKHTsfQwPLRPSNfbD0NDje610mx86PdiVIgO0KTocCYPOUqLSoNVpcOqEuEhm1qHRak5lFW1hTaZermTGRSIVfPEK+I1WskTreSIVvJdLf7+UEnl9GjN9GjN9Haywz6tBZ/OSq/OglomSpFrrQbBcppAOYW/lOjMJP5SgvxDmYJermZI72RY72LI4GJE72bY4MbcadWQrufZLobZKoXZKobYKoQIVhIInU/KrNAzbvAxZuhj3NjHmMGHRWmgJbQIlCNsFHbYKO6yUdghVIkiIHQMeQ8TxiEmDCNMGIexq6zU23X8pW02iqusF1bZLm1Qb4v7xKvuZdwwybhxilH9JDq5jkw9zlbxAVvF+2wV7lFqiUGeS+1jVH+EMcMR+nWTSCQQqSyzW7zObukaqdpuZ4+4RZRCf5oe7RyC0CRSvk6o9Dah0iVq7SxSFLi1J+jTP02P7imUUj3Z6g0S5VdIlF/rGH8VNs15nLqPYddcQCbVfrSgoek5pfDV7/VjX53H9Ylvw4ULNF/+CxLVN0mUXyFduYJAA6XMiUP7HA7tc5jVJ6i3y4RLlwiW3iZSvkZLqCKXaHBrT9GjewKv9ixqmYVEbYvd4jV2iteIVlcBAbXUgE93DJ/uOP264+gVdtL1GJuFe2wV77FVfECl1TksW9XHoH6GIf0Mg7ppdHIjmXqa9cIKG8VVNgqrxDq4oUKiZFA3zIh+jGH9GIO64U6PkCIbRTFKWS9ss1n0U2mJUZ1GpmZY3y9OXT9Deh9OlYhlRqspNoshNgpBtoohNosh0vUDss2mNDGo8zCo9zCo8zCgc9OndaGWKWkLbaKVHDuluBiZ7W/UYuJQBiGTSHGrzfTpbPRqrfRobPTpbHg1FrwaC9pO1N8S2iSqBcLlHJFO5Bit5IlUch3DkiNbf7THkEIqw67SY1PpsKn02DtXi0qLVaXDotRiUWoxK7WYlBq0skcrkdsdlUyhXqXQqFHsRM8iLFTr4O51yq2HVEOtJrVWg1q7U+nbudbbzQPJp9A6hPXvZwLdgjIeakPdcRBSDgrKZNKDgjK55IB7UMoOeIl9eEgtk6OVKTvqIWWHz1Cil6u6hPd+xmPoZDuPk96WmjWy9QrZeplMZ4qOtUS6vg8PFUnViqRqpUecN4hwoFttxN3J7NwaIx6NCa/GjEdr6mL3ILZgiFQyBMtpguU0oXKKYCVNoJQiVs11jbX4uIZOsGFnUOdkQO9gQO/EqRJ7DpWbVfzlGLulCDvFCDulCDulcFdcIe43CyP6HkYMPQzrexkz9GJTmhAQiFTjbBf32Cr62Sr62SkFqHWMuF6uY1Q/wJhhqBtkaeUa8o0c26VNtorrbBXX8Zd3aHXkpV5NL2P6CUYNk4zqxzEojOQaKXaLS2wVH7BTWiRdj3Ue38yIfp4RwxzD+nmMCivZepi90k38pZsEy3ept8tIkeHVzjKoO8WA/iQWpY9yM0qofIlQ6SKxyi3aQh2F1IBXe5Ze3VN4daeRIiNdvUyi/BrJ8hs021mkEg02zVM4tS9i055HQpt85VVy5Zcxap7HZviZj44jOHpsQnj5L1/EfuG3od1m6/s+tN7nMWk/jkH9LG2hTaryJonya6Qq79IWKsglBqzap3BonsWqeRKJREmscotQ6SLh8kXKTRGrs6om8GrP4tGexaaeotYu/v/bO/PYuI7zgP9mz3csuRTPXR5LUodlWbZjWYpsJ1ad2I6juEXcFE3honAapEWctDncomhjBE2NpEEb9AKKNHHTpmiaBrXTNkndxFec2HVtx4ckS5ZlyRLFY7nL++a+a6/pH+9xtZRIiY4pkqreDxjM7s5w9+P35s03830z80gbBxnIvcKAcRCzNOXWi6RI6bvp0K6nTbuWcEBh2OqnN3eU08ZRBozj5Mtux92ipOjSd9Kt76RL30FNeBOzhRl6cifpyb3J6dwpMuYAZcoIBAmllc36VrpjW+nWt5BU2pDAkDVCz3w/PbkBenL9DJhZSt6KCD2ksVnvoFtPsTnWQZfWQUJtJigCTOfn6c0N0Zsbos8YotcYJm2MVFZTuL9ZT6feQkpLkNJa6NCaSWktxLxH6M3kTQbNCdLGBIPmJIPGBIPmFBlzklxxsduhLqzRqtWTUOpIqnUk1DqS6iYSSpxmJU48fOZQOqdUYMyeZ8yeZ9zLJ+wcE46bJh2DSTvHdN5csoMC13DUhhXiYdUbEavUhBVioWgl10PRimtIC0ZQQxHUYLiSK0HXJx8Wb99V9HaRUlIol7DLbrzCLOaxSgWskrsL2ih6Bq3oYBQdz9DZnovIZq5gMV9w3UNzBfu8equPaDR4RrdJqankborRotTSqMSIeDNAd8ZgMGrPMmrNMGzPMGLNMGLPMGzNMGROMb9Ee2jXGmjX3AFDh9ZAp95Eh9ZQefD6bMEgY46RNkdJm6MMGKMMmCOVRRMASiBCp56gW0+yOdbKZr2V7liS2rBOsVwiaw3Tb2ToNdL0GYP0G5nK4CkcCNOtd7A11snWWBdbY10VN0/GHKTPOE2f0UOvcaqypDMkQqS0brbEtrEttp0tsSvQQzGm82MMGMfpM47RlztW8QwoQZ1ufSdbYtewOXYNzdEO7NIcGfMwafMQaeMgcwV3AFgTaqEztodO/Z10aLsIBSJMWEcYMl9gyHyB2bx79lks3E6bto92/Waa1OsolmeZMJ9mwvwpU/bzlKVNSNTQoL2XJu19NKj7kNJmznqCOetRcvZzSPKEg0maaj9LY809/48MwZa4PFCbQBzrw/rJV5ne2cec9TjF8jiCCDHlZmrV/dSqdyCEzpT9AhPmT5gwn6ZQnkIQIq7splF9Lw3aLajBLmYLPQwZL5A1n2fSdgPJkUAtCW0vSe0GktoNqMFmJpw+Bo2DDJgHGDLdTW2CAC3Kdjr0XbRr7yCp7iQgQmTMHvqM1+nLHSNtvlkxDA2RJJ36Djr1K+nUrqQx2oZTdug3TtNrnKI310OfcRrDm2FEAwqdWjdd+mY69c10aZupjzRQlEXS5hC9uTS9RpreXJq0OURRLgSHw3RorXRp7XTqbaQ0N9WEdUrlEhlrgn5j2LvxRhgwR8mYYxTlmdUpdeEY7VoT7WozbVoTbWoTbWojSbUBNRitBAaz5iRD1rSbzCmGrGmGvQ4iX168KzgaCNGk1NIcjdOo1FTyxqibGiI1NERr0ENnzsMpyzLzBacyip3Ju26hWW+kO1ewK/l8wWa+aHv+8+U7wqUIIFyDEAgSCYSq3ELBSoA3tLCZbGHVENVHUJ9xDi0cRV1m8aayYrnkuoZk1cqhcrGSO6XiioPQ4HboNaEosbBCTVhxjWFYoS6iVfJ4WCUeUSszqvqoTqxKv1JK5goWk/l5b2Ywz4Qzz7g9x7gzx7g9x5iXV7cPcJcvJ9VNJJU6WrVNtKr1ldlhm1ZPjTeYMIo2Q9Y4WWuCrDlO1honY42TMccrLk23fYTp0Jrp1BJ06u7ApEtPkFQbEAhmC/OkzSwDZpYBI0O/kSVjDVcGRZFAmE6tnc2xFFv0FJtjKdrUJAEhGHfGGDB76TfcNGj2U5DuiqHaUJzu2Fa26NvYHNtKp9ZNUAQZtdMMGCdImyfoN44zW3A3eyoBjS79KrpjO+nWryapdlEo22Sto2SMw2TMVxl3TnsyabRr7yCl7yGl7yYeasUoZhm2XmLYeJFR6yBFaRIgRJO6izb93bRq76ImnCKXP8Gk9QwT1jPMOUcASTSYpFG7lSbtNuqUvRRLY8xZjzNnPY7hvAyUCAfbiat3Uqv9Imr4OoQoEggoq28IhBAfBh4AdgB7pZQHqsruB34LKAGfkVI+scTfdwMPAQ3AQeAeKeUFt4RenwjKQ6NljPtq4Lc/QmTbvQRDO7AKB5k1XWUUSoOAQIvsplZ9HzXqHUSC3cznX2PCepoJ8xmMgrvHQA2laFBvoUHdR51yA0XpMGK+zLD5M4bNl7BK7oWvDXeR0PaS0PbSou5CEGHYeoNB8xAZ8zAj1gkkZQKESKhX0qZdS5v2DpLqVQRFmCGrl37jDfqN46SNE5glN9irBWvo0K4gpW8npW2nTd1KJKAw5ox4I5XT9Bu9ZK10pZOPhWpIaV1e6ialddIQaaIoS2StEfqNQfqNLP3GIGkzW1mlBLApEqdDbaVDS9KhJWlXk7RpCWIh10AM25OkzTEy5hiD5hgZa4yMOV7ZBLdAfaSGpOIahYRST1JtoEWpJ6k00BCNV4KAU/kco/YsI9YMY/Yso/Ys4/Yco46bTzrzlZVN1UQDITZFYmyK6NRHY9SFdeoiGnURnXhYIx7RiIc1asNqJUUD4UUjejfQWqiMoM1S3gu65jG9EbZTKlRWC9nlwpnVQmU3L5RLZzrvcqni468sDUWCd8Dcgq8ZPJPgGYoFo+HGGAIVYxL2DM2C0XHjEq5bKBoMowbDRAMh1JAb4FaDYfSQF/QORYmFopX9HtX/s1XKM1+wmC1YXm4yWzA9A2owUzCYznvJyTGVN87p4MHt5JuitTRFa2lW4jQrtbR4M7uEWkeLUleJ6RTLJcadaUbsaUbsSUasKYbtSYatSYbtiUXuHIDGSNwdZGjNtKtNdHgz0RZlEwLBXGGejDVCxhpm0BwmYw6TNoeYL55ph5vCcVJ6G116uzfgafdiaDDmjDJo9jNg9jFo9pM2B7BKrsEJiwgprYsufTPd+ha69C00RBqxSwaD1knSxkkGzTcZNE/ilF33ZU1oE536Drr0q+jUd5BQUq672XydrPUaGfMI43YPkjJBESap7qRdu46Ufj0tynby5XnGrIMMmy8xYr6MUfTOGwu1ktRupFW/iRZ1D4IyU9YLTFrPMmU9i1NyXU01kWto1N5Do3orevhKnOIx5qwnmbOexC4cc++Z0BXUavuJq/uJhnZSKhzCsX+EYz+Gqt2DXvvpi2IIdgBl4O+BP1gwBEKIq4B/A/YCrcBTwBVSLm5pQojvAt+TUj4khHgQOCKl/PqFfnePEPLF7iC5P49TuCkKQUEg2EFUeT8RZT+h8B6c4skqJR0FIBLqpEa5nVr1drToDTjFMSat/2HSepZp+0XK0iYgotRF30m9uo969d1ooS3MFXrdi2e9zJj1KiXpIAhSH91BQnsnLepuGpVrKMsyQ9brZMwjZMwjjNknkZTdqL6yjVb1Glq1q2lVd6IG65hwsvQbxxk0T5I2TzDuZF29EKBZ6aBD20a7uo12bSvNSoqyLJO1Buk3ekmbfaTNfoasLGVctapBjXY1RbuWcnM1RVJtIyzCzBTm6DcyDJpDpM2se2NZw5X10wDxcC1tagttaoJWtYVWtYWk0kyz0kBQBDGKNllrnCFrgiFrgmFr0s3tSSacxb7foAjQGInTrNTTHK2jSamjKeqmxmicxmgd8bBOwDMWcwWLCWeeSWeeyfw8U06OyXyOKSdX6bBmvNwpL37mcTUhEfTcQQp6aMEtpKB5nacajLp+9+AZ15AScIPFUS8/MxMIVTrqsAi5p456HXhA/Hyb0cpy8fLTgiyeNSvwdjV7sQqn5C1vLeWxS3msUt4zZo5nzByMok2u6JAr2OSKbiqdZxakBiPURXQ2eak+EnNT1M3duEwNjdHayqysJMtM5+eZdGYZd2aYcGYYd2YYc2YYs6cZd2aYdGYXrZwKEKBZqSOpNNDqzSJb1cZKUoNRCuUiY/YEQ/YoQ5abstYoWWuEXNXgRQ0qdGitdKju4CXlzXDj4Rrsks2QNUjGSpOxBsmYA2StQRxv5U9IhGlTO+jUuujUu+nUukmq7UhZZtjuJ2v2kLFOMWieYqLqHmxRUqS07aT07XTqO9gUbiZXnGDIep0h83WGrKNMOH2AJCjCJJQdtGnX0q5dR1K9CkmBMetVRq2DjJoHmM67A89wQKdF3U1C3UtCu4FYqI1c4ThT1nNMWc8x67yKpEhQxKhX302D+gs0qLcQDujknOeZt55izn6KYmkUd7C7h1r1fdSq+4mE2sg7z5O3H8exn0SWx4EIkeg+FP0eFPWOi+caEkI8w2JDcD+AlPLPvPdPAA9IKX9W9TcCGAcSUsqiEOImr877L/R7e4SoTD3K7TGcf7yH/B6DvPO/gEMs/mVU/aOV+vniEPP2U8xZP8awX0Di0FhzL8m6P67UKZVtZpxXmDSfZcp+DrPgHkW9q+VbbFJvPFNP5pmwjjJivcKI+QpTznEkJdr0fdyS/MtFcuZLJsPWMbLWUYbM1xmxj1OSBQQBPrHtB0SC2qL6ZnGeQfMUg+ZJMtYpMuapSgB6b/37uav93nN0USjnyVoZ0mY/g+YAGcu9CRZWNSSUVh7Y+ZUl9ViWZcadSTKmO+rKWiOVm9ComqpfHd/On+y877zXJF8uMuaNBEftKUbtacac6UonMe7MnNM5XR3v5m92fea837sUdinPTN6sjHLnvFHvQj5ftDEKNkbpTOe40Hlapfw5rqqfh4XzhQIsLA91A8NaMIpVyldWDIF3Oqm3cmg1iAZCqMGIZ9wUL4CsoIei1IQW4iPqoplSrTeDqgtrRIPLP/ltOX7jZ19kzJle9FlYBGlSNtEcraNZqacpWkdCqSeh1NPiDQCCgfOfDvvpQ19gxB6vvK8NxWjTErSpburQkrSpCRoim5aM3ZRlmd87fC+O53ZVAiod3kCoQ+sipXWSVNsIinOfq/Ctvj/l5PwhwA3stnsDr5S+nXZ1K9Gguqj+lJPm230f8/53haS6k1btatq0a0koOwgFFh958lj6HqbzJwmICI3K1bSoe0hqe6mP7iBQJc9w7vscn/icK0dkBw3qPurVfcSjuwiIM9cqPfFJZq3/JiB0YsovuJ4O5TZCwYZKndzcl7FyX0MInUj0ViLKfiLKbQQC7nOZL+qqoSUMwVeBF6WU/+q9/ybwmJTyP6r+ptGrs9V73+HVuXqZ3/g48HGAKOyurjQOI2nIvu1/ZPVpBCbWW4gV4Mu5uvhyri6+nKtHp5Sy6ewPzzWTZyGEeApILFH0eSnlf62GZCtBSvkN4BueTAcOLGHVNhpCiANLWd+Nhi/n6uLLubr4cl58LmgIpJS3/xzfmwU6qt63c+6IfRKoE0KEpJTFZer4+Pj4+FxkLtaDWh8B7hZCRL2VQduAl6srSNcn9TTwq95Hvwms2QzDx8fHx8flbRkCIcSHhBAZ4CbgR15QGCnlMeC7wBvA48DvLqwYEkI8KoRo9b7ij4DfF0L04C4h/eYKf/obb0fuNcSXc3Xx5VxdfDlXl0tFznO4JDeU+fj4+PisHhfLNeTj4+Pjc4ngGwIfHx+fy5wNawiEEB8WQhwTQpSFEHvOKrtfCNEjhHhTCLHkBjQhRLcQ4iWv3sNCiOUfcLt6Mj8shDjspX4hxOFl6vULIY569Q4sVediIoR4QAiRrZL1zmXq7fd03COE+Nw6yPkXQogTQojXhBDfF0LULVNvXfR5If14iyUe9spfEkJ0rZVsVTJ0CCGeFkK84d1Pn12iznuEELNV7eELay2nJ8d5r6Nw+VtPn68JIa5fBxm3V+npsBBiTghx31l1NoQ+3xLSe6jGRku45xdtB54B9lR9fhVwBIgC3cBpILjE338XuNt7/SDwyTWW/6+ALyxT1g80rqNuH8DdAHi+OkFPt5uBiKfzq9ZYzjuAkPf6K8BXNoo+V6If4HeAB73XdwMPr8O1TgLXe69rgJNLyPke4IdrLdtbvY7AncBjuMc43Qi8tM7yBoER3E1aG06fbyVt2BmBlPK4lPLNJYruAh6SUjpSyj6gB/dMowre8RW3Ags7mb8F/PJFFHcR3u//Gu55S5cqe4EeKWWvdA8CfAhX92uGlPJJKeXCeRAv4u412SisRD934bY9cNvibWKpcxIuIlLKYSnlIe/1PHAcaFtLGVaRu4B/kS4v4u5DSq6jPLcBp6WUA+sow6qwYQ3BeWgDBqveZzi3YTcAM1WdyFJ1Lib7gFEp5allyiXwpBDioHd0xnrwKW96/U9CiE1LlK9Ez2vJx3BHg0uxHvpciX4qdby2OIvbNtcFzzW1C3hpieKbhBBHhBCPCSF2rq1kFS50HTdam7yb5Qd7G0GfK+aCO4svJmKDHF/xVlihzL/O+WcDN0sps0KIZuDHQogTUspn10pO4OvAl3BvvC/hurE+tpq/v1JWok8hxOeBIvCdZb7mouvzUkcIEQP+E7hPSjl3VvEhXPdGzosX/QB3E+hac8lcRy/m+EHg/iWKN4o+V8y6GgJ5CR5fcSGZhRAh4FeA3ef5jqyXjwkhvo/rZljVBr9S3Qoh/gH44RJFK9Hz22YF+vwo8EvAbdJzwC7xHRddn0uwEv0s1Ml47SKO2zbXFCFEGNcIfEdK+b2zy6sNg5TyUSHE14QQjVLKNT1AbQXXcU3a5Ar5AHBISjl6dsFG0edb4VJ0DW304ytuB05IKTNLFQohdCFEzcJr3IDo62sk24IM1X7VDy3z+68A24S7+iqCOw1+ZC3kW0AIsR/4Q+CDUkpzmTrrpc+V6OcR3LYHblv86XLG7GLhxSS+CRyXUv71MnUSC7ELIcRe3H5hTQ3WCq/jI8BHvNVDNwKzUsrhtZSzimVn/RtBn2+Z9Y5WL5dwO6gM4ACjwBNVZZ/HXbHxJvCBqs8fBVq915txDUQP8O9AdI3k/mfgE2d91go8WiXXES8dw3WBrLVuvw0cBV7DvbmSZ8vpvb8Td5XJ6XWSswfXJ3zYSw+eLed66nMp/QBfxDVcAIrX9nq8trh5HXR4M64L8LUqPd4JfGKhnQKf8nR3BDco/651kHPJ63iWnAL4O0/fR6laTbjGsuq4HXu86rMNpc+3mvwjJnx8fHwucy5F15CPj4+PzyriGwIfHx+fyxzfEPj4+Phc5viGwMfHx+cyxzcEPj4+Ppc5viHw8fHxuczxDYGPj4/PZc7/AUZvk4HA/qDyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制原始的二维函数图像\n",
    "X, Y = torch.meshgrid(torch.arange(-10, 10, 0.1), torch.arange(-10, 10, 0.1), indexing='ij')\n",
    "Z = f(X, Y)\n",
    "plt.contour(X, Y, Z, levels=30)\n",
    "\n",
    "# 绘制搜索过程曲线\n",
    "plt.plot(xs, ys, 'r-')\n",
    "plt.scatter(xs, ys, s=50, c='r')  # 圆点大小为 50，颜色为红色\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c0b1616",
   "metadata": {},
   "source": [
    "## 2. 不同优化器效果对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6f92fe4d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入必要的库\n",
    "import torch.nn as nn\n",
    "from torch.utils.data import DataLoader, TensorDataset  # 用于构造数据加载器\n",
    "from torch.utils.data import random_split # 用于划分数据集\n",
    "import torch.optim as optim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "191299b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.3720, 0.4497, 1.0605])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 定义函数\n",
    "def f(x, y):\n",
    "    return x ** 2 + 2 * y ** 2\n",
    "\n",
    "# 定义初始值\n",
    "num_samples = 1000 # 1000个样本点\n",
    "X = torch.rand(num_samples) # 均匀分布\n",
    "Y = torch.rand(num_samples) # 均匀分布\n",
    "Z = f(X,Y) +  torch.randn(num_samples)  #高斯分布扰动项\n",
    "\n",
    "dataset = torch.stack([X, Y, Z], dim = 1)\n",
    "dataset[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0ba9ae17",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 按照8：2划分数据集\n",
    "train_size = int(0.8 * len(dataset))\n",
    "test_size = len(dataset) - train_size\n",
    "\n",
    "train_dataset, test_dataset = random_split(dataset=dataset, lengths=[train_size, test_size])\n",
    "\n",
    "# 将数据封装成数据加载器\n",
    "train_dataloader = DataLoader(TensorDataset(train_dataset.dataset.narrow(1,0,2), train_dataset.dataset.narrow(1,2,1)),\n",
    "                              batch_size=32, shuffle=False)\n",
    "test_dataloader = DataLoader(TensorDataset(test_dataset.dataset.narrow(1,0,2), test_dataset.dataset.narrow(1,2,1)),\n",
    "                             batch_size=32, shuffle=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "708c2eed",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义一个简单模型\n",
    "class Model(nn.Module):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.hidden = nn.Linear(2, 8)\n",
    "        self.output = nn.Linear(8, 1)\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = torch.relu(self.hidden(x))\n",
    "        return self.output(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9b20b92a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义损失函数\n",
    "loss_fn = nn.MSELoss()\n",
    "\n",
    "# 初始化模型序列\n",
    "opt_labels = ['SGD', 'Momentum', 'Adagrad', 'RMSprop', 'Adadelta', 'Adam']\n",
    "models = [Model(), Model(), Model(), Model(), Model(), Model()] \n",
    "\n",
    "# 优化器列表\n",
    "SGD = optim.SGD(models[0].parameters(), lr=learning_rate)\n",
    "Momentum = optim.SGD(models[1].parameters(), lr=learning_rate, momentum=0.8, nesterov=True)\n",
    "Adagrad = optim.Adagrad(models[2].parameters(), lr=learning_rate)\n",
    "RMSprop = optim.RMSprop(models[3].parameters(), lr=learning_rate)\n",
    "Adadelta = optim.Adadelta(models[4].parameters(), lr=learning_rate)\n",
    "Adam = optim.Adam(models[5].parameters(), lr=learning_rate)\n",
    "opts = [SGD, Momentum, Adagrad, RMSprop, Adadelta, Adam]\n",
    "\n",
    "# 定义训练和测试误差历史记录数组\n",
    "train_losses_his = [[],[],[],[],[],[]]\n",
    "test_losses_his = [[],[],[],[],[],[]]\n",
    "\n",
    "# 超参数\n",
    "num_epochs = 50\n",
    "learning_rate = 0.01 # 学习率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ce69cdeb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 模型训练和测试\n",
    "for epoch in range(num_epochs):\n",
    "    # 当前epoch每个模型在训练集上的总损失列表\n",
    "    train_losses = [0,0,0,0,0,0]\n",
    "    # 遍历训练集\n",
    "    for inputs, targets in train_dataloader:\n",
    "        # 迭代不同的模型\n",
    "        for index, model, optimizer, loss_history in zip(range(6), models, opts, train_losses_his):\n",
    "            # 预测、损失函数、反向传播\n",
    "            model.train()\n",
    "            outputs = model(inputs)\n",
    "            loss = loss_fn(outputs, targets)\n",
    "            optimizer.zero_grad()\n",
    "            loss.backward()\n",
    "            optimizer.step()\n",
    "            # 记录loss\n",
    "            train_losses[index] += loss.item()\n",
    "\n",
    "    \n",
    "    # 当前epoch每个模型在训测试集上的总损失列表\n",
    "    test_losses = [0,0,0,0,0,0]\n",
    "    # 在测试数据上评估，测试模型不计算梯度\n",
    "    with torch.no_grad():\n",
    "        # 遍历测试集\n",
    "        for inputs, targets in test_dataloader:\n",
    "            # 迭代不同的模型\n",
    "            for index, model, optimizer, loss_history in zip(range(6), models, opts, test_losses_his):\n",
    "            # 预测、损失函数、反向传播\n",
    "                model.eval()\n",
    "                outputs = model(inputs)\n",
    "                loss = loss_fn(outputs, targets)\n",
    "                test_losses[index] += loss.item()\n",
    "    \n",
    "    # 计算loss并记录到历史记录中\n",
    "    for i in range(6):\n",
    "        train_losses[i] /= len(train_dataloader)\n",
    "        train_losses_his[i].append(train_losses[i])\n",
    "        test_losses[i] /= len(test_dataloader)\n",
    "        test_losses_his[i].append(test_losses[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "af9428be",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制训练集损失曲线\n",
    "for i, l_his in enumerate(train_losses_his):\n",
    "    plt.plot(l_his, label=opt_labels[i])\n",
    "plt.legend(loc='best')\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('Loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "66fc9ccf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制测试集损失曲线\n",
    "for i, l_his in enumerate(test_losses_his):\n",
    "    plt.plot(l_his, label=opt_labels[i])\n",
    "plt.legend(loc='best')\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('Loss')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
